---
_id: '14518'
abstract:
- lang: eng
  text: We consider bidding games, a class of two-player zero-sum graph games. The
    game proceeds as follows. Both players have bounded budgets. A token is placed
    on a vertex of a graph, in each turn the players simultaneously submit bids, and
    the higher bidder moves the token, where we break bidding ties in favor of Player
    1. Player 1 wins the game iff the token visits a designated target vertex. We
    consider, for the first time, poorman discrete-bidding in which the granularity
    of the bids is restricted and the higher bid is paid to the bank. Previous work
    either did not impose granularity restrictions or considered Richman bidding (bids
    are paid to the opponent). While the latter mechanisms are technically more accessible,
    the former is more appealing from a practical standpoint. Our study focuses on
    threshold budgets, which is the necessary and sufficient initial budget required
    for Player 1 to ensure winning against a given Player 2 budget. We first show
    existence of thresholds. In DAGs, we show that threshold budgets can be approximated
    with error bounds by thresholds under continuous-bidding and that they exhibit
    a periodic behavior. We identify closed-form solutions in special cases. We implement
    and experiment with an algorithm to find threshold budgets.
acknowledgement: This research was supported in part by ISF grant no. 1679/21, ERC
  CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
  programme under the Marie SkłodowskaCurie Grant Agreement No. 665385.
article_processing_charge: No
arxiv: 1
author:
- first_name: Guy
  full_name: Avni, Guy
  id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Avni
  orcid: 0000-0001-5588-8287
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Suman
  full_name: Sadhukhan, Suman
  last_name: Sadhukhan
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Avni G, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. Reachability poorman
    discrete-bidding games. In: <i>Frontiers in Artificial Intelligence and Applications</i>.
    Vol 372. IOS Press; 2023:141-148. doi:<a href="https://doi.org/10.3233/FAIA230264">10.3233/FAIA230264</a>'
  apa: 'Avni, G., Meggendorfer, T., Sadhukhan, S., Tkadlec, J., &#38; Zikelic, D.
    (2023). Reachability poorman discrete-bidding games. In <i>Frontiers in Artificial
    Intelligence and Applications</i> (Vol. 372, pp. 141–148). Krakow, Poland: IOS
    Press. <a href="https://doi.org/10.3233/FAIA230264">https://doi.org/10.3233/FAIA230264</a>'
  chicago: Avni, Guy, Tobias Meggendorfer, Suman Sadhukhan, Josef Tkadlec, and Dorde
    Zikelic. “Reachability Poorman Discrete-Bidding Games.” In <i>Frontiers in Artificial
    Intelligence and Applications</i>, 372:141–48. IOS Press, 2023. <a href="https://doi.org/10.3233/FAIA230264">https://doi.org/10.3233/FAIA230264</a>.
  ieee: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, and D. Zikelic, “Reachability
    poorman discrete-bidding games,” in <i>Frontiers in Artificial Intelligence and
    Applications</i>, Krakow, Poland, 2023, vol. 372, pp. 141–148.
  ista: 'Avni G, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. 2023. Reachability
    poorman discrete-bidding games. Frontiers in Artificial Intelligence and Applications.
    ECAI: European Conference on Artificial Intelligence vol. 372, 141–148.'
  mla: Avni, Guy, et al. “Reachability Poorman Discrete-Bidding Games.” <i>Frontiers
    in Artificial Intelligence and Applications</i>, vol. 372, IOS Press, 2023, pp.
    141–48, doi:<a href="https://doi.org/10.3233/FAIA230264">10.3233/FAIA230264</a>.
  short: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, D. Zikelic, in:, Frontiers
    in Artificial Intelligence and Applications, IOS Press, 2023, pp. 141–148.
conference:
  end_date: 2023-10-04
  location: Krakow, Poland
  name: 'ECAI: European Conference on Artificial Intelligence'
  start_date: 2023-09-30
date_created: 2023-11-12T23:00:56Z
date_published: 2023-09-28T00:00:00Z
date_updated: 2025-07-14T09:09:57Z
day: '28'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.3233/FAIA230264
ec_funded: 1
external_id:
  arxiv:
  - '2307.15218'
file:
- access_level: open_access
  checksum: 1390ca38480fa4cf286b0f1a42e8c12f
  content_type: application/pdf
  creator: dernst
  date_created: 2023-11-13T10:16:10Z
  date_updated: 2023-11-13T10:16:10Z
  file_id: '14529'
  file_name: 2023_FAIA_Avni.pdf
  file_size: 501011
  relation: main_file
  success: 1
file_date_updated: 2023-11-13T10:16:10Z
has_accepted_license: '1'
intvolume: '       372'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '09'
oa: 1
oa_version: Published Version
page: 141-148
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Frontiers in Artificial Intelligence and Applications
publication_identifier:
  isbn:
  - '9781643684369'
  issn:
  - 0922-6389
publication_status: published
publisher: IOS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reachability poorman discrete-bidding games
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 372
year: '2023'
...
---
_id: '14657'
abstract:
- lang: eng
  text: 'Natural selection is usually studied between mutants that differ in reproductive
    rate, but are subject to the same population structure. Here we explore how natural
    selection acts on mutants that have the same reproductive rate, but different
    population structures. In our framework, population structure is given by a graph
    that specifies where offspring can disperse. The invading mutant disperses offspring
    on a different graph than the resident wild-type. We find that more densely connected
    dispersal graphs tend to increase the invader’s fixation probability, but the
    exact relationship between structure and fixation probability is subtle. We present
    three main results. First, we prove that if both invader and resident are on complete
    dispersal graphs, then removing a single edge in the invader’s dispersal graph
    reduces its fixation probability. Second, we show that for certain island models
    higher invader’s connectivity increases its fixation probability, but the magnitude
    of the effect depends on the exact layout of the connections. Third, we show that
    for lattices the effect of different connectivity is comparable to that of different
    fitness: for large population size, the invader’s fixation probability is either
    constant or exponentially small, depending on whether it is more or less connected
    than the resident.'
acknowledgement: K.C. acknowledges support from the ERC CoG 863818(ForM-SMArt). J.T.
  is supported by Center for Foundations ofModern Computer Science (Charles Univ.
  project UNCE/SCI/004).
article_number: '20230355'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Kamran
  full_name: Kaveh, Kamran
  last_name: Kaveh
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. Evolutionary dynamics of mutants
    that modify population structure. <i>Journal of the Royal Society, Interface</i>.
    2023;20(208). doi:<a href="https://doi.org/10.1098/rsif.2023.0355">10.1098/rsif.2023.0355</a>
  apa: Tkadlec, J., Kaveh, K., Chatterjee, K., &#38; Nowak, M. A. (2023). Evolutionary
    dynamics of mutants that modify population structure. <i>Journal of the Royal
    Society, Interface</i>. The Royal Society. <a href="https://doi.org/10.1098/rsif.2023.0355">https://doi.org/10.1098/rsif.2023.0355</a>
  chicago: Tkadlec, Josef, Kamran Kaveh, Krishnendu Chatterjee, and Martin A. Nowak.
    “Evolutionary Dynamics of Mutants That Modify Population Structure.” <i>Journal
    of the Royal Society, Interface</i>. The Royal Society, 2023. <a href="https://doi.org/10.1098/rsif.2023.0355">https://doi.org/10.1098/rsif.2023.0355</a>.
  ieee: J. Tkadlec, K. Kaveh, K. Chatterjee, and M. A. Nowak, “Evolutionary dynamics
    of mutants that modify population structure,” <i>Journal of the Royal Society,
    Interface</i>, vol. 20, no. 208. The Royal Society, 2023.
  ista: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. 2023. Evolutionary dynamics of
    mutants that modify population structure. Journal of the Royal Society, Interface.
    20(208), 20230355.
  mla: Tkadlec, Josef, et al. “Evolutionary Dynamics of Mutants That Modify Population
    Structure.” <i>Journal of the Royal Society, Interface</i>, vol. 20, no. 208,
    20230355, The Royal Society, 2023, doi:<a href="https://doi.org/10.1098/rsif.2023.0355">10.1098/rsif.2023.0355</a>.
  short: J. Tkadlec, K. Kaveh, K. Chatterjee, M.A. Nowak, Journal of the Royal Society,
    Interface 20 (2023).
date_created: 2023-12-10T23:00:58Z
date_published: 2023-11-29T00:00:00Z
date_updated: 2025-07-14T09:10:00Z
day: '29'
ddc:
- '000'
- '570'
department:
- _id: KrCh
doi: 10.1098/rsif.2023.0355
ec_funded: 1
external_id:
  pmid:
  - '38016637'
file:
- access_level: open_access
  checksum: 2eefab13127c7786dbd33303c482a004
  content_type: application/pdf
  creator: dernst
  date_created: 2023-12-11T11:10:32Z
  date_updated: 2023-12-11T11:10:32Z
  file_id: '14673'
  file_name: 2023_RoyalInterface_Tkadlec.pdf
  file_size: 1720243
  relation: main_file
  success: 1
file_date_updated: 2023-12-11T11:10:32Z
has_accepted_license: '1'
intvolume: '        20'
issue: '208'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of the Royal Society, Interface
publication_identifier:
  eissn:
  - 1742-5662
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolutionary dynamics of mutants that modify population structure
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2023'
...
---
_id: '12787'
abstract:
- lang: eng
  text: "Populations evolve in spatially heterogeneous environments. While a certain
    trait might bring a fitness advantage in some patch of the environment, a different
    trait might be advantageous in another patch. Here, we study the Moran birth–death
    process with two types of individuals in a population stretched across two patches
    of size N, each patch favouring one of the two types. We show that the long-term
    fate of such populations crucially depends on the migration rate μ\r\n between
    the patches. To classify the possible fates, we use the distinction between polynomial
    (short) and exponential (long) timescales. We show that when μ is high then one
    of the two types fixates on the whole population after a number of steps that
    is only polynomial in N. By contrast, when μ is low then each type holds majority
    in the patch where it is favoured for a number of steps that is at least exponential
    in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
    those two scenarios, thereby exactly delineating the situations that support long-term
    coexistence of the two types. We also discuss the case of various cycle graphs
    and we present computer simulations that perfectly match our analytical results."
acknowledgement: J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)
article_number: '20220685'
article_processing_charge: No
article_type: original
author:
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Kamran
  full_name: Kaveh, Kamran
  last_name: Kaveh
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran
    process with environmental heterogeneity. <i>Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences</i>. 2023;479(2271). doi:<a
    href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>'
  apa: 'Svoboda, J., Tkadlec, J., Kaveh, K., &#38; Chatterjee, K. (2023). Coexistence
    times in the Moran process with environmental heterogeneity. <i>Proceedings of
    the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>'
  chicago: 'Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee.
    “Coexistence Times in the Moran Process with Environmental Heterogeneity.” <i>Proceedings
    of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society, 2023. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>.'
  ieee: 'J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in
    the Moran process with environmental heterogeneity,” <i>Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 479, no.
    2271. The Royal Society, 2023.'
  ista: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the
    Moran process with environmental heterogeneity. Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.'
  mla: 'Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental
    Heterogeneity.” <i>Proceedings of the Royal Society A: Mathematical, Physical
    and Engineering Sciences</i>, vol. 479, no. 2271, 20220685, The Royal Society,
    2023, doi:<a href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>.'
  short: 'J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences 479 (2023).'
date_created: 2023-04-02T22:01:09Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2025-07-14T09:09:51Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2022.0685
ec_funded: 1
external_id:
  isi:
  - '000957125500002'
file:
- access_level: open_access
  checksum: 13953d349fbefcb5d21ccc6b303297eb
  content_type: application/pdf
  creator: dernst
  date_created: 2023-04-03T06:25:29Z
  date_updated: 2023-04-03T06:25:29Z
  file_id: '12796'
  file_name: 2023_ProceedingsRoyalSocietyA_Svoboda.pdf
  file_size: 827784
  relation: main_file
  success: 1
file_date_updated: 2023-04-03T06:25:29Z
has_accepted_license: '1'
intvolume: '       479'
isi: 1
issue: '2271'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
  Sciences'
publication_identifier:
  eissn:
  - 1471-2946
  issn:
  - 1364-5021
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
related_material:
  link:
  - relation: research_data
    url: https://doi.org/10.6084/m9.figshare.21261771.v1
scopus_import: '1'
status: public
title: Coexistence times in the Moran process with environmental heterogeneity
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 479
year: '2023'
...
---
_id: '12833'
abstract:
- lang: eng
  text: 'The input to the token swapping problem is a graph with vertices v1, v2,
    . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex. The goal
    is to get token i to vertex vi for all i= 1, . . . , n using a minimum number
    of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token
    swapping on a tree, also known as “sorting with a transposition tree,” is not
    known to be in P nor NP-complete. We present some partial results: 1. An optimum
    swap sequence may need to perform a swap on a leaf vertex that has the correct
    token (a “happy leaf”), disproving a conjecture of Vaughan. 2. Any algorithm that
    fixes happy leaves—as all known approximation algorithms for the problem do—has
    approximation factor at least 4/3. Furthermore, the two best-known 2-approximation
    algorithms have approximation factor exactly 2. 3. A generalized problem—weighted
    coloured token swapping—is NP-complete on trees, but solvable in polynomial time
    on paths and stars. In this version, tokens and vertices have colours, and colours
    have weights. The goal is to get every token to a vertex of the same colour, and
    the cost of a swap is the sum of the weights of the two tokens involved.'
acknowledgement: "This work was begun at the University of Waterloo and was partially
  supported by the Natural Sciences and Engineering Council of Canada (NSERC).\r\n"
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Ahmad
  full_name: Biniaz, Ahmad
  last_name: Biniaz
- first_name: Kshitij
  full_name: Jain, Kshitij
  last_name: Jain
- first_name: Anna
  full_name: Lubiw, Anna
  last_name: Lubiw
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Tillmann
  full_name: Miltzow, Tillmann
  last_name: Miltzow
- first_name: Debajyoti
  full_name: Mondal, Debajyoti
  last_name: Mondal
- first_name: Anurag Murty
  full_name: Naredla, Anurag Murty
  last_name: Naredla
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Alexi
  full_name: Turcotte, Alexi
  last_name: Turcotte
citation:
  ama: Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>Discrete Mathematics
    and Theoretical Computer Science</i>. 2023;24(2). doi:<a href="https://doi.org/10.46298/DMTCS.8383">10.46298/DMTCS.8383</a>
  apa: Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte,
    A. (2023). Token swapping on trees. <i>Discrete Mathematics and Theoretical Computer
    Science</i>. EPI Sciences. <a href="https://doi.org/10.46298/DMTCS.8383">https://doi.org/10.46298/DMTCS.8383</a>
  chicago: Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow,
    Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token
    Swapping on Trees.” <i>Discrete Mathematics and Theoretical Computer Science</i>.
    EPI Sciences, 2023. <a href="https://doi.org/10.46298/DMTCS.8383">https://doi.org/10.46298/DMTCS.8383</a>.
  ieee: A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>Discrete Mathematics
    and Theoretical Computer Science</i>, vol. 24, no. 2. EPI Sciences, 2023.
  ista: Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec
    J, Turcotte A. 2023. Token swapping on trees. Discrete Mathematics and Theoretical
    Computer Science. 24(2), 9.
  mla: Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>Discrete Mathematics and
    Theoretical Computer Science</i>, vol. 24, no. 2, 9, EPI Sciences, 2023, doi:<a
    href="https://doi.org/10.46298/DMTCS.8383">10.46298/DMTCS.8383</a>.
  short: A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla,
    J. Tkadlec, A. Turcotte, Discrete Mathematics and Theoretical Computer Science
    24 (2023).
date_created: 2023-04-16T22:01:08Z
date_published: 2023-01-18T00:00:00Z
date_updated: 2024-01-04T12:42:09Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
- _id: HeEd
- _id: UlWa
doi: 10.46298/DMTCS.8383
external_id:
  arxiv:
  - '1903.06981'
file:
- access_level: open_access
  checksum: 439102ea4f6e2aeefd7107dfb9ccf532
  content_type: application/pdf
  creator: dernst
  date_created: 2023-04-17T08:10:28Z
  date_updated: 2023-04-17T08:10:28Z
  file_id: '12844'
  file_name: 2022_DMTCS_Biniaz.pdf
  file_size: 2072197
  relation: main_file
  success: 1
file_date_updated: 2023-04-17T08:10:28Z
has_accepted_license: '1'
intvolume: '        24'
issue: '2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: Discrete Mathematics and Theoretical Computer Science
publication_identifier:
  eissn:
  - 1365-8050
  issn:
  - 1462-7264
publication_status: published
publisher: EPI Sciences
quality_controlled: '1'
related_material:
  record:
  - id: '7950'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Token swapping on trees
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2023'
...
---
_id: '11938'
abstract:
- lang: eng
  text: A matching is compatible to two or more labeled point sets of size n with
    labels {1, . . . , n} if its straight-line drawing on each of these point sets
    is crossing-free. We study the maximum number of edges in a matching compatible
    to two or more labeled point sets in general position in the plane. We show that
    for any two labeled sets of n points in convex position there exists a compatible
    matching with ⌊√2n + 1 − 1⌋ edges. More generally, for any ℓ labeled point sets
    we construct compatible matchings of size Ω(n1/ℓ). As a corresponding upper bound,
    we use probabilistic arguments to show that for any ℓ given sets of n points there
    exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1))
    edges. Finally, we show that Θ(log n) copies of any set of n points are necessary
    and sufficient for the existence of labelings of these point sets such that any
    compatible matching consists only of a single edge.
acknowledgement: 'A.A. funded by the Marie Sklodowska-Curie grant agreement No 754411.
  Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
  no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
  DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
  by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
  ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
  (RiSE).'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Alan M
  full_name: Arroyo Guevara, Alan M
  id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
  last_name: Arroyo Guevara
  orcid: 0000-0003-2401-8670
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Irene
  full_name: Parada, Irene
  last_name: Parada
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Alexander
  full_name: Pilz, Alexander
  last_name: Pilz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Birgit
  full_name: Vogtenhuber, Birgit
  last_name: Vogtenhuber
citation:
  ama: Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
    <i>Journal of Graph Algorithms and Applications</i>. 2022;26(2):225-240. doi:<a
    href="https://doi.org/10.7155/jgaa.00591">10.7155/jgaa.00591</a>
  apa: Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
    Pilz, A., … Vogtenhuber, B. (2022). On compatible matchings. <i>Journal of Graph
    Algorithms and Applications</i>. Brown University. <a href="https://doi.org/10.7155/jgaa.00591">https://doi.org/10.7155/jgaa.00591</a>
  chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
    Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
    Matchings.” <i>Journal of Graph Algorithms and Applications</i>. Brown University,
    2022. <a href="https://doi.org/10.7155/jgaa.00591">https://doi.org/10.7155/jgaa.00591</a>.
  ieee: O. Aichholzer <i>et al.</i>, “On compatible matchings,” <i>Journal of Graph
    Algorithms and Applications</i>, vol. 26, no. 2. Brown University, pp. 225–240,
    2022.
  ista: Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
    J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and
    Applications. 26(2), 225–240.
  mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” <i>Journal of Graph Algorithms
    and Applications</i>, vol. 26, no. 2, Brown University, 2022, pp. 225–40, doi:<a
    href="https://doi.org/10.7155/jgaa.00591">10.7155/jgaa.00591</a>.
  short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
    J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022)
    225–240.
date_created: 2022-08-21T22:01:56Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-02-23T13:54:21Z
day: '01'
ddc:
- '000'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.7155/jgaa.00591
ec_funded: 1
external_id:
  arxiv:
  - '2101.03928'
file:
- access_level: open_access
  checksum: dc6e255e3558faff924fd9e370886c11
  content_type: application/pdf
  creator: dernst
  date_created: 2022-08-22T06:42:42Z
  date_updated: 2022-08-22T06:42:42Z
  file_id: '11940'
  file_name: 2022_JourGraphAlgorithmsApplic_Aichholzer.pdf
  file_size: 694538
  relation: main_file
  success: 1
file_date_updated: 2022-08-22T06:42:42Z
has_accepted_license: '1'
intvolume: '        26'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 225-240
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Journal of Graph Algorithms and Applications
publication_identifier:
  issn:
  - 1526-1719
publication_status: published
publisher: Brown University
quality_controlled: '1'
related_material:
  record:
  - id: '9296'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: On compatible matchings
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2022'
...
---
_id: '12257'
abstract:
- lang: eng
  text: Structural balance theory is an established framework for studying social
    relationships of friendship and enmity. These relationships are modeled by a signed
    network whose energy potential measures the level of imbalance, while stochastic
    dynamics drives the network toward a state of minimum energy that captures social
    balance. It is known that this energy landscape has local minima that can trap
    socially aware dynamics, preventing it from reaching balance. Here we first study
    the robustness and attractor properties of these local minima. We show that a
    stochastic process can reach them from an abundance of initial states and that
    some local minima cannot be escaped by mild perturbations of the network. Motivated
    by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic
    process. We prove that BED always reaches balance and that it does so fast in
    various interesting settings.
acknowledgement: "K.C. acknowledges support from ERC Start Grant No. (279307: Graph
  Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund
  (FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385."
article_number: '034321'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance
    on networks: Local minima and best-edge dynamics. <i>Physical Review E</i>. 2022;106(3).
    doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>'
  apa: 'Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., &#38; Tkadlec,
    J. (2022). Social balance on networks: Local minima and best-edge dynamics. <i>Physical
    Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>'
  chicago: 'Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis,
    and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.”
    <i>Physical Review E</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>.'
  ieee: 'K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social
    balance on networks: Local minima and best-edge dynamics,” <i>Physical Review
    E</i>, vol. 106, no. 3. American Physical Society, 2022.'
  ista: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social
    balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3),
    034321.'
  mla: 'Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and
    Best-Edge Dynamics.” <i>Physical Review E</i>, vol. 106, no. 3, 034321, American
    Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>.'
  short: K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical
    Review E 106 (2022).
date_created: 2023-01-16T09:57:57Z
date_published: 2022-09-29T00:00:00Z
date_updated: 2025-07-14T09:09:49Z
day: '29'
department:
- _id: KrCh
doi: 10.1103/physreve.106.034321
ec_funded: 1
external_id:
  arxiv:
  - '2210.02394'
  isi:
  - '000870243100001'
intvolume: '       106'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.02394
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: Physical Review E
publication_identifier:
  eissn:
  - 2470-0053
  issn:
  - 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Social balance on networks: Local minima and best-edge dynamics'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '9296'
abstract:
- lang: eng
  text: ' matching is compatible to two or more labeled point sets of size n with
    labels   {1,…,n}  if its straight-line drawing on each of these point sets is
    crossing-free. We study the maximum number of edges in a matching compatible to
    two or more labeled point sets in general position in the plane. We show that
    for any two labeled convex sets of n points there exists a compatible matching
    with   ⌊2n−−√⌋  edges. More generally, for any   ℓ  labeled point sets we construct
    compatible matchings of size   Ω(n1/ℓ) . As a corresponding upper bound, we use
    probabilistic arguments to show that for any   ℓ  given sets of n points there
    exists a labeling of each set such that the largest compatible matching has   O(n2/(ℓ+1))  edges.
    Finally, we show that   Θ(logn)  copies of any set of n points are necessary and
    sufficient for the existence of a labeling such that any compatible matching consists
    only of a single edge.'
acknowledgement: 'A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411.
  Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
  no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
  DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
  by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
  ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
  (RiSE).'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Alan M
  full_name: Arroyo Guevara, Alan M
  id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
  last_name: Arroyo Guevara
  orcid: 0000-0003-2401-8670
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Irene
  full_name: Parada, Irene
  last_name: Parada
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Alexander
  full_name: Pilz, Alexander
  last_name: Pilz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Birgit
  full_name: Vogtenhuber, Birgit
  last_name: Vogtenhuber
citation:
  ama: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
    In: <i>15th International Conference on Algorithms and Computation</i>. Vol 12635.
    Springer Nature; 2021:221-233. doi:<a href="https://doi.org/10.1007/978-3-030-68211-8_18">10.1007/978-3-030-68211-8_18</a>'
  apa: 'Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
    Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In <i>15th International
    Conference on Algorithms and Computation</i> (Vol. 12635, pp. 221–233). Yangon,
    Myanmar: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-68211-8_18">https://doi.org/10.1007/978-3-030-68211-8_18</a>'
  chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
    Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
    Matchings.” In <i>15th International Conference on Algorithms and Computation</i>,
    12635:221–33. Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-68211-8_18">https://doi.org/10.1007/978-3-030-68211-8_18</a>.
  ieee: O. Aichholzer <i>et al.</i>, “On compatible matchings,” in <i>15th International
    Conference on Algorithms and Computation</i>, Yangon, Myanmar, 2021, vol. 12635,
    pp. 221–233.
  ista: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
    J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference
    on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol.
    12635, 221–233.'
  mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” <i>15th International
    Conference on Algorithms and Computation</i>, vol. 12635, Springer Nature, 2021,
    pp. 221–33, doi:<a href="https://doi.org/10.1007/978-3-030-68211-8_18">10.1007/978-3-030-68211-8_18</a>.
  short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
    J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and
    Computation, Springer Nature, 2021, pp. 221–233.
conference:
  end_date: 2021-03-02
  location: Yangon, Myanmar
  name: 'WALCOM: Algorithms and Computation'
  start_date: 2021-02-28
date_created: 2021-03-28T22:01:41Z
date_published: 2021-02-16T00:00:00Z
date_updated: 2023-02-21T16:33:44Z
day: '16'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.1007/978-3-030-68211-8_18
ec_funded: 1
external_id:
  arxiv:
  - '2101.03928'
intvolume: '     12635'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2101.03928
month: '02'
oa: 1
oa_version: Preprint
page: 221-233
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: 15th International Conference on Algorithms and Computation
publication_identifier:
  eissn:
  - '16113349'
  isbn:
  - '9783030682101'
  issn:
  - '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '11938'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: On compatible matchings
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 12635
year: '2021'
...
---
_id: '9640'
abstract:
- lang: eng
  text: 'Selection and random drift determine the probability that novel mutations
    fixate in a population. Population structure is known to affect the dynamics of
    the evolutionary process. Amplifiers of selection are population structures that
    increase the fixation probability of beneficial mutants compared to well-mixed
    populations. Over the past 15 years, extensive research has produced remarkable
    structures called strong amplifiers which guarantee that every beneficial mutation
    fixates with high probability. But strong amplification has come at the cost of
    considerably delaying the fixation event, which can slow down the overall rate
    of evolution. However, the precise relationship between fixation probability and
    time has remained elusive. Here we characterize the slowdown effect of strong
    amplification. First, we prove that all strong amplifiers must delay the fixation
    event at least to some extent. Second, we construct strong amplifiers that delay
    the fixation event only marginally as compared to the well-mixed populations.
    Our results thus establish a tight relationship between fixation probability and
    time: Strong amplification always comes at a cost of a slowdown, but more than
    a marginal slowdown is not needed.'
acknowledgement: 'K.C. acknowledges support from ERC Start grant no. (279307: Graph
  Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF)
  grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office
  of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.'
article_number: '4009'
article_processing_charge: No
article_type: original
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers
    of natural selection. <i>Nature Communications</i>. 2021;12(1). doi:<a href="https://doi.org/10.1038/s41467-021-24271-w">10.1038/s41467-021-24271-w</a>
  apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2021). Fast
    and strong amplifiers of natural selection. <i>Nature Communications</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41467-021-24271-w">https://doi.org/10.1038/s41467-021-24271-w</a>
  chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
    A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” <i>Nature Communications</i>.
    Springer Nature, 2021. <a href="https://doi.org/10.1038/s41467-021-24271-w">https://doi.org/10.1038/s41467-021-24271-w</a>.
  ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong
    amplifiers of natural selection,” <i>Nature Communications</i>, vol. 12, no. 1.
    Springer Nature, 2021.
  ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers
    of natural selection. Nature Communications. 12(1), 4009.
  mla: Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” <i>Nature
    Communications</i>, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:<a href="https://doi.org/10.1038/s41467-021-24271-w">10.1038/s41467-021-24271-w</a>.
  short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications
    12 (2021).
date_created: 2021-07-11T22:01:15Z
date_published: 2021-06-29T00:00:00Z
date_updated: 2025-07-14T09:10:05Z
day: '29'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1038/s41467-021-24271-w
ec_funded: 1
external_id:
  isi:
  - '000671752100003'
  pmid:
  - '34188036'
file:
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  creator: cziletti
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  file_name: 2021_NatCoom_Tkadlec.pdf
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  success: 1
file_date_updated: 2021-07-19T13:02:20Z
has_accepted_license: '1'
intvolume: '        12'
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issue: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Nature Communications
publication_identifier:
  eissn:
  - '20411723'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fast and strong amplifiers of natural selection
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2021'
...
---
_id: '7196'
abstract:
- lang: eng
  text: 'In this thesis we study certain mathematical aspects of evolution. The two
    primary forces that drive an evolutionary process are mutation and selection.
    Mutation generates new variants in a population. Selection chooses among the variants
    depending on the reproductive rates of individuals. Evolutionary processes are
    intrinsically random – a new mutation that is initially present in the population
    at low frequency can go extinct, even if it confers a reproductive advantage.
    The overall rate of evolution is largely determined by two quantities: the probability
    that an invading advantageous mutation spreads through the population (called
    fixation probability) and the time until it does so (called fixation time). Both
    those quantities crucially depend not only on the strength of the invading mutation
    but also on the population structure. In this thesis, we aim to understand how
    the underlying population structure affects the overall rate of evolution. Specifically,
    we study population structures that increase the fixation probability of advantageous
    mutants (called amplifiers of selection). Broadly speaking, our results are of
    three different types: We present various strong amplifiers, we identify regimes
    under which only limited amplification is feasible, and we propose population
    structures that provide different tradeoffs between high fixation probability
    and short fixation time.'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: Tkadlec J. A role of graphs in evolutionary processes. 2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:7196">10.15479/AT:ISTA:7196</a>
  apa: Tkadlec, J. (2020). <i>A role of graphs in evolutionary processes</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:7196">https://doi.org/10.15479/AT:ISTA:7196</a>
  chicago: Tkadlec, Josef. “A Role of Graphs in Evolutionary Processes.” Institute
    of Science and Technology Austria, 2020. <a href="https://doi.org/10.15479/AT:ISTA:7196">https://doi.org/10.15479/AT:ISTA:7196</a>.
  ieee: J. Tkadlec, “A role of graphs in evolutionary processes,” Institute of Science
    and Technology Austria, 2020.
  ista: Tkadlec J. 2020. A role of graphs in evolutionary processes. Institute of
    Science and Technology Austria.
  mla: Tkadlec, Josef. <i>A Role of Graphs in Evolutionary Processes</i>. Institute
    of Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:7196">10.15479/AT:ISTA:7196</a>.
  short: J. Tkadlec, A Role of Graphs in Evolutionary Processes, Institute of Science
    and Technology Austria, 2020.
date_created: 2019-12-20T12:26:36Z
date_published: 2020-01-12T00:00:00Z
date_updated: 2023-10-17T12:29:46Z
day: '12'
ddc:
- '519'
degree_awarded: PhD
department:
- _id: KrCh
- _id: GradSch
doi: 10.15479/AT:ISTA:7196
file:
- access_level: closed
  checksum: 451f8e64b0eb26bf297644ac72bfcbe9
  content_type: application/zip
  creator: jtkadlec
  date_created: 2020-01-12T11:49:49Z
  date_updated: 2020-07-14T12:47:52Z
  file_id: '7255'
  file_name: thesis.zip
  file_size: 21100497
  relation: source_file
- access_level: open_access
  checksum: d8c44cbc4f939c49a8efc9d4b8bb3985
  content_type: application/pdf
  creator: dernst
  date_created: 2020-01-28T07:32:42Z
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  file_id: '7367'
  file_name: 2020_Tkadlec_Thesis.pdf
  file_size: 11670983
  relation: main_file
file_date_updated: 2020-07-14T12:47:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '144'
publication_identifier:
  eissn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '7210'
    relation: dissertation_contains
    status: public
  - id: '5751'
    relation: dissertation_contains
    status: public
  - id: '7212'
    relation: dissertation_contains
    status: public
status: public
supervisor:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
title: A role of graphs in evolutionary processes
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '7212'
abstract:
- lang: eng
  text: The fixation probability of a single mutant invading a population of residents
    is among the most widely-studied quantities in evolutionary dynamics. Amplifiers
    of natural selection are population structures that increase the fixation probability
    of advantageous mutants, compared to well-mixed populations. Extensive studies
    have shown that many amplifiers exist for the Birth-death Moran process, some
    of them substantially increasing the fixation probability or even guaranteeing
    fixation in the limit of large population size. On the other hand, no amplifiers
    are known for the death-Birth Moran process, and computer-assisted exhaustive
    searches have failed to discover amplification. In this work we resolve this disparity,
    by showing that any amplification under death-Birth updating is necessarily bounded
    and transient. Our boundedness result states that even if a population structure
    does amplify selection, the resulting fixation probability is close to that of
    the well-mixed population. Our transience result states that for any population
    structure there exists a threshold r⋆ such that the population structure ceases
    to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally,
    we also extend the above results to δ-death-Birth updating, which is a combination
    of Birth-death and death-Birth updating. On the positive side, we identify population
    structures that maintain amplification for a wide range of values r and δ. These
    results demonstrate that amplification of natural selection depends on the specific
    mechanisms of the evolutionary process.
article_number: e1007494
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of
    natural selection under death-Birth updating. <i>PLoS computational biology</i>.
    2020;16. doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>
  apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2020). Limits
    on amplifiers of natural selection under death-Birth updating. <i>PLoS Computational
    Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>
  chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
    A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.”
    <i>PLoS Computational Biology</i>. Public Library of Science, 2020. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>.
  ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers
    of natural selection under death-Birth updating,” <i>PLoS computational biology</i>,
    vol. 16. Public Library of Science, 2020.
  ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers
    of natural selection under death-Birth updating. PLoS computational biology. 16,
    e1007494.
  mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth
    Updating.” <i>PLoS Computational Biology</i>, vol. 16, e1007494, Public Library
    of Science, 2020, doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>.
  short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational
    Biology 16 (2020).
date_created: 2019-12-23T13:45:11Z
date_published: 2020-01-17T00:00:00Z
date_updated: 2023-10-17T12:29:47Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1007494
ec_funded: 1
external_id:
  arxiv:
  - '1906.02785'
  isi:
  - '000510916500025'
file:
- access_level: open_access
  checksum: ce32ee2d2f53aed832f78bbd47e882df
  content_type: application/pdf
  creator: dernst
  date_created: 2020-02-03T07:32:42Z
  date_updated: 2020-07-14T12:47:53Z
  file_id: '7441'
  file_name: 2020_PlosCompBio_Tkadlec.pdf
  file_size: 1817531
  relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: '        16'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: PLoS computational biology
publication_identifier:
  eissn:
  - '15537358'
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
  record:
  - id: '7196'
    relation: part_of_dissertation
    status: public
scopus_import: '1'
status: public
title: Limits on amplifiers of natural selection under death-Birth updating
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '15082'
abstract:
- lang: eng
  text: "Two plane drawings of geometric graphs on the same set of points are called
    disjoint compatible if their union is plane and they do not have an edge in common.
    For a given set S of 2n points two plane drawings of perfect matchings M1 and
    M2 (which do not need to be disjoint nor compatible) are disjoint tree-compatible
    if there exists a plane drawing of a spanning tree T on S which is disjoint compatible
    to both M1 and M2.\r\nWe show that the graph of all disjoint tree-compatible perfect
    geometric matchings on 2n points in convex position is connected if and only if
    2n ≥ 10. Moreover, in that case the diameter\r\nof this graph is either 4 or 5,
    independent of n."
acknowledgement: Research on this work was initiated at the 6th Austrian-Japanese-Mexican-Spanish
  Workshop on Discrete Geometry and continued during the 16th European Geometric Graph-Week,
  both held near Strobl, Austria. We are grateful to the participants for the inspiring
  atmosphere. We especially thank Alexander Pilz for bringing this class of problems
  to our attention and Birgit Vogtenhuber for inspiring discussions. D.P. is partially
  supported by the FWF grant I 3340-N35 (Collaborative DACH project Arrangements and
  Drawings). The research stay of P.P. at IST Austria is funded by the project CZ.02.2.69/0.0/0.0/17_050/0008466
  Improvement of internationalization in the field of research and development at
  Charles University, through the support of quality projects MSCA-IF. This project
  has received funding from the European Union’s Horizon 2020 research and innovation
  programme under the Marie Skłodowska-Curie grant agreement No 734922.
article_number: '56'
article_processing_charge: No
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Julia
  full_name: Obmann, Julia
  last_name: Obmann
- first_name: Pavel
  full_name: Patak, Pavel
  id: B593B804-1035-11EA-B4F1-947645A5BB83
  last_name: Patak
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. Disjoint tree-compatible
    plane perfect matchings. In: <i>36th European Workshop on Computational Geometry</i>.
    ; 2020.'
  apa: Aichholzer, O., Obmann, J., Patak, P., Perz, D., &#38; Tkadlec, J. (2020).
    Disjoint tree-compatible plane perfect matchings. In <i>36th European Workshop
    on Computational Geometry</i>. Würzburg, Germany, Virtual.
  chicago: Aichholzer, Oswin, Julia Obmann, Pavel Patak, Daniel Perz, and Josef Tkadlec.
    “Disjoint Tree-Compatible Plane Perfect Matchings.” In <i>36th European Workshop
    on Computational Geometry</i>, 2020.
  ieee: O. Aichholzer, J. Obmann, P. Patak, D. Perz, and J. Tkadlec, “Disjoint tree-compatible
    plane perfect matchings,” in <i>36th European Workshop on Computational Geometry</i>,
    Würzburg, Germany, Virtual, 2020.
  ista: 'Aichholzer O, Obmann J, Patak P, Perz D, Tkadlec J. 2020. Disjoint tree-compatible
    plane perfect matchings. 36th European Workshop on Computational Geometry. EuroCG:
    European Workshop on Computational Geometry, 56.'
  mla: Aichholzer, Oswin, et al. “Disjoint Tree-Compatible Plane Perfect Matchings.”
    <i>36th European Workshop on Computational Geometry</i>, 56, 2020.
  short: O. Aichholzer, J. Obmann, P. Patak, D. Perz, J. Tkadlec, in:, 36th European
    Workshop on Computational Geometry, 2020.
conference:
  end_date: 2020-03-18
  location: Würzburg, Germany, Virtual
  name: 'EuroCG: European Workshop on Computational Geometry'
  start_date: 2020-03-16
date_created: 2024-03-05T08:57:17Z
date_published: 2020-04-01T00:00:00Z
date_updated: 2024-03-05T09:00:07Z
day: '01'
department:
- _id: KrCh
- _id: UlWa
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www1.pub.informatik.uni-wuerzburg.de/eurocg2020/data/uploads/papers/eurocg20_paper_56.pdf
month: '04'
oa: 1
oa_version: Published Version
publication: 36th European Workshop on Computational Geometry
publication_status: published
quality_controlled: '1'
status: public
title: Disjoint tree-compatible plane perfect matchings
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '9197'
abstract:
- lang: eng
  text: In this paper we introduce and study all-pay bidding games, a class of two
    player, zero-sum games on graphs. The game proceeds as follows. We place a token
    on some vertex in the graph and assign budgets to the two players. Each turn,
    each player submits a sealed legal bid (non-negative and below their remaining
    budget), which is deducted from their budget and the highest bidder moves the
    token onto an adjacent vertex. The game ends once a sink is reached, and Player
    1 pays Player 2 the outcome that is associated with the sink. The players attempt
    to maximize their expected outcome. Our games model settings where effort (of
    no inherent value) needs to be invested in an ongoing and stateful manner. On
    the negative side, we show that even in simple games on DAGs, optimal strategies
    may require a distribution over bids with infinite support. A central quantity
    in bidding games is the ratio of the players budgets. On the positive side, we
    show a simple FPTAS for DAGs, that, for each budget ratio, outputs an approximation
    for the optimal strategy for that ratio. We also implement it, show that it performs
    well, and suggests interesting properties of these games. Then, given an outcome
    c, we show an algorithm for finding the necessary and sufficient initial ratio
    for guaranteeing outcome c with probability 1 and a strategy ensuring such. Finally,
    while the general case has not previously been studied, solving the specific game
    in which Player 1 wins iff he wins the first two auctions, has been long stated
    as an open question, which we solve.
acknowledgement: This research was supported by the Austrian Science Fund (FWF) under
  grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner
  fellowship).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Guy
  full_name: Avni, Guy
  id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Avni
  orcid: 0000-0001-5588-8287
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: Avni G, Ibsen-Jensen R, Tkadlec J. All-pay bidding games on graphs. <i>Proceedings
    of the AAAI Conference on Artificial Intelligence</i>. 2020;34(02):1798-1805.
    doi:<a href="https://doi.org/10.1609/aaai.v34i02.5546">10.1609/aaai.v34i02.5546</a>
  apa: 'Avni, G., Ibsen-Jensen, R., &#38; Tkadlec, J. (2020). All-pay bidding games
    on graphs. <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>.
    New York, NY, United States: Association for the Advancement of Artificial Intelligence.
    <a href="https://doi.org/10.1609/aaai.v34i02.5546">https://doi.org/10.1609/aaai.v34i02.5546</a>'
  chicago: Avni, Guy, Rasmus Ibsen-Jensen, and Josef Tkadlec. “All-Pay Bidding Games
    on Graphs.” <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>.
    Association for the Advancement of Artificial Intelligence, 2020. <a href="https://doi.org/10.1609/aaai.v34i02.5546">https://doi.org/10.1609/aaai.v34i02.5546</a>.
  ieee: G. Avni, R. Ibsen-Jensen, and J. Tkadlec, “All-pay bidding games on graphs,”
    <i>Proceedings of the AAAI Conference on Artificial Intelligence</i>, vol. 34,
    no. 02. Association for the Advancement of Artificial Intelligence, pp. 1798–1805,
    2020.
  ista: Avni G, Ibsen-Jensen R, Tkadlec J. 2020. All-pay bidding games on graphs.
    Proceedings of the AAAI Conference on Artificial Intelligence. 34(02), 1798–1805.
  mla: Avni, Guy, et al. “All-Pay Bidding Games on Graphs.” <i>Proceedings of the
    AAAI Conference on Artificial Intelligence</i>, vol. 34, no. 02, Association for
    the Advancement of Artificial Intelligence, 2020, pp. 1798–805, doi:<a href="https://doi.org/10.1609/aaai.v34i02.5546">10.1609/aaai.v34i02.5546</a>.
  short: G. Avni, R. Ibsen-Jensen, J. Tkadlec, Proceedings of the AAAI Conference
    on Artificial Intelligence 34 (2020) 1798–1805.
conference:
  end_date: 2020-02-12
  location: New York, NY, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2020-02-07
date_created: 2021-02-25T09:05:18Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2023-09-05T12:40:00Z
day: '03'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v34i02.5546
external_id:
  arxiv:
  - '1911.08360'
intvolume: '        34'
issue: '02'
language:
- iso: eng
month: '04'
oa_version: Preprint
page: 1798-1805
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
- _id: 264B3912-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: M02369
  name: Formal Methods meets Algorithmic Game Theory
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  isbn:
  - '9781577358350'
  issn:
  - 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: All-pay bidding games on graphs
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 34
year: '2020'
...
---
_id: '9814'
abstract:
- lang: eng
  text: Data and mathematica notebooks for plotting figures from Language learning
    with communication between learners
article_processing_charge: No
author:
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Data and mathematica notebooks
    for plotting figures from language learning with communication between learners
    from language acquisition with communication between learners. 2020. doi:<a href="https://doi.org/10.6084/m9.figshare.5973013.v1">10.6084/m9.figshare.5973013.v1</a>
  apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2020). Data
    and mathematica notebooks for plotting figures from language learning with communication
    between learners from language acquisition with communication between learners.
    Royal Society. <a href="https://doi.org/10.6084/m9.figshare.5973013.v1">https://doi.org/10.6084/m9.figshare.5973013.v1</a>
  chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning
    with Communication between Learners from Language Acquisition with Communication
    between Learners.” Royal Society, 2020. <a href="https://doi.org/10.6084/m9.figshare.5973013.v1">https://doi.org/10.6084/m9.figshare.5973013.v1</a>.
  ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica
    notebooks for plotting figures from language learning with communication between
    learners from language acquisition with communication between learners.” Royal
    Society, 2020.
  ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica
    notebooks for plotting figures from language learning with communication between
    learners from language acquisition with communication between learners, Royal
    Society, <a href="https://doi.org/10.6084/m9.figshare.5973013.v1">10.6084/m9.figshare.5973013.v1</a>.
  mla: Ibsen-Jensen, Rasmus, et al. <i>Data and Mathematica Notebooks for Plotting
    Figures from Language Learning with Communication between Learners from Language
    Acquisition with Communication between Learners</i>. Royal Society, 2020, doi:<a
    href="https://doi.org/10.6084/m9.figshare.5973013.v1">10.6084/m9.figshare.5973013.v1</a>.
  short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020).
date_created: 2021-08-06T13:09:57Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '15'
department:
- _id: KrCh
doi: 10.6084/m9.figshare.5973013.v1
main_file_link:
- open_access: '1'
  url: https://doi.org/10.6084/m9.figshare.5973013.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society
related_material:
  record:
  - id: '198'
    relation: used_in_publication
    status: public
status: public
title: Data and mathematica notebooks for plotting figures from language learning
  with communication between learners from language acquisition with communication
  between learners
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '7950'
abstract:
- lang: eng
  text: "The input to the token swapping problem is a graph with vertices v1, v2,
    . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex.  The
    goal is to get token i to vertex vi for all i= 1, . . . , n using a minimum number
    of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token
    swapping on a tree, also known as “sorting with a transposition tree,” is not
    known to be in P nor NP-complete.  We present some partial results:\r\n1.  An
    optimum swap sequence may need to perform a swap on a leaf vertex that has the
    correct token (a “happy leaf”), disproving a conjecture of Vaughan.\r\n2.  Any
    algorithm that fixes happy leaves—as all known approximation algorithms for the
    problem do—has approximation factor at least 4/3.  Furthermore, the two best-known
    2-approximation algorithms have approximation factor exactly 2.\r\n3.  A generalized
    problem—weighted coloured token swapping—is NP-complete on trees, but solvable
    in polynomial time on paths and stars.  In this version, tokens and  vertices
    \ have  colours,  and  colours  have  weights.   The  goal  is  to  get  every
    token to a vertex of the same colour, and the cost of a swap is the sum of the
    weights of the two tokens involved."
article_number: '1903.06981'
article_processing_charge: No
arxiv: 1
author:
- first_name: Ahmad
  full_name: Biniaz, Ahmad
  last_name: Biniaz
- first_name: Kshitij
  full_name: Jain, Kshitij
  last_name: Jain
- first_name: Anna
  full_name: Lubiw, Anna
  last_name: Lubiw
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Tillmann
  full_name: Miltzow, Tillmann
  last_name: Miltzow
- first_name: Debajyoti
  full_name: Mondal, Debajyoti
  last_name: Mondal
- first_name: Anurag Murty
  full_name: Naredla, Anurag Murty
  last_name: Naredla
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Alexi
  full_name: Turcotte, Alexi
  last_name: Turcotte
citation:
  ama: Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>arXiv</i>.
  apa: Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte,
    A. (n.d.). Token swapping on trees. <i>arXiv</i>.
  chicago: Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow,
    Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token
    Swapping on Trees.” <i>ArXiv</i>, n.d.
  ieee: A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>arXiv</i>. .
  ista: Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec
    J, Turcotte A. Token swapping on trees. arXiv, 1903.06981.
  mla: Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>ArXiv</i>, 1903.06981.
  short: A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla,
    J. Tkadlec, A. Turcotte, ArXiv (n.d.).
date_created: 2020-06-08T12:25:25Z
date_published: 2019-03-16T00:00:00Z
date_updated: 2024-01-04T12:42:08Z
day: '16'
department:
- _id: HeEd
- _id: UlWa
- _id: KrCh
external_id:
  arxiv:
  - '1903.06981'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1903.06981
month: '03'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '7944'
    relation: dissertation_contains
    status: public
  - id: '12833'
    relation: later_version
    status: public
status: public
title: Token swapping on trees
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...
---
_id: '7210'
abstract:
- lang: eng
  text: The rate of biological evolution depends on the fixation probability and on
    the fixation time of new mutants. Intensive research has focused on identifying
    population structures that augment the fixation probability of advantageous mutants.
    But these amplifiers of natural selection typically increase fixation time. Here
    we study population structures that achieve a tradeoff between fixation probability
    and time. First, we show that no amplifiers can have an asymptotically lower absorption
    time than the well-mixed population. Then we design population structures that
    substantially augment the fixation probability with just a minor increase in fixation
    time. Finally, we show that those structures enable higher effective rate of evolution
    than the well-mixed population provided that the rate of generating advantageous
    mutants is relatively low. Our work sheds light on how population structure affects
    the rate of evolution. Moreover, our structures could be useful for lab-based,
    medical, or industrial applications of evolutionary optimization.
article_number: '138'
article_processing_charge: No
article_type: original
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Population structure determines
    the tradeoff between fixation probability and fixation time. <i>Communications
    Biology</i>. 2019;2. doi:<a href="https://doi.org/10.1038/s42003-019-0373-y">10.1038/s42003-019-0373-y</a>
  apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2019). Population
    structure determines the tradeoff between fixation probability and fixation time.
    <i>Communications Biology</i>. Springer Nature. <a href="https://doi.org/10.1038/s42003-019-0373-y">https://doi.org/10.1038/s42003-019-0373-y</a>
  chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
    A. Nowak. “Population Structure Determines the Tradeoff between Fixation Probability
    and Fixation Time.” <i>Communications Biology</i>. Springer Nature, 2019. <a href="https://doi.org/10.1038/s42003-019-0373-y">https://doi.org/10.1038/s42003-019-0373-y</a>.
  ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Population structure
    determines the tradeoff between fixation probability and fixation time,” <i>Communications
    Biology</i>, vol. 2. Springer Nature, 2019.
  ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2019. Population structure
    determines the tradeoff between fixation probability and fixation time. Communications
    Biology. 2, 138.
  mla: Tkadlec, Josef, et al. “Population Structure Determines the Tradeoff between
    Fixation Probability and Fixation Time.” <i>Communications Biology</i>, vol. 2,
    138, Springer Nature, 2019, doi:<a href="https://doi.org/10.1038/s42003-019-0373-y">10.1038/s42003-019-0373-y</a>.
  short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology
    2 (2019).
date_created: 2019-12-23T13:36:50Z
date_published: 2019-04-23T00:00:00Z
date_updated: 2023-09-07T13:19:22Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1038/s42003-019-0373-y
ec_funded: 1
external_id:
  isi:
  - '000465425700006'
  pmid:
  - '31044163'
file:
- access_level: open_access
  checksum: d1a69bfe73767e4246f0a38e4e1554dd
  content_type: application/pdf
  creator: dernst
  date_created: 2019-12-23T13:39:30Z
  date_updated: 2020-07-14T12:47:53Z
  file_id: '7211'
  file_name: 2019_CommBio_Tkadlec.pdf
  file_size: 1670274
  relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: '         2'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Communications Biology
publication_identifier:
  issn:
  - 2399-3642
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '7196'
    relation: part_of_dissertation
    status: public
scopus_import: '1'
status: public
title: Population structure determines the tradeoff between fixation probability and
  fixation time
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2
year: '2019'
...
---
_id: '198'
abstract:
- lang: eng
  text: We consider a class of students learning a language from a teacher. The situation
    can be interpreted as a group of child learners receiving input from the linguistic
    environment. The teacher provides sample sentences. The students try to learn
    the grammar from the teacher. In addition to just listening to the teacher, the
    students can also communicate with each other. The students hold hypotheses about
    the grammar and change them if they receive counter evidence. The process stops
    when all students have converged to the correct grammar. We study how the time
    to convergence depends on the structure of the classroom by introducing and evaluating
    various complexity measures. We find that structured communication between students,
    although potentially introducing confusion, can greatly reduce some of the complexity
    measures. Our theory can also be interpreted as applying to the scientific process,
    where nature is the teacher and the scientists are the students.
article_number: '20180073'
article_processing_charge: No
article_type: original
author:
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Language acquisition with
    communication between learners. <i>Journal of the Royal Society Interface</i>.
    2018;15(140). doi:<a href="https://doi.org/10.1098/rsif.2018.0073">10.1098/rsif.2018.0073</a>
  apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2018). Language
    acquisition with communication between learners. <i>Journal of the Royal Society
    Interface</i>. The Royal Society. <a href="https://doi.org/10.1098/rsif.2018.0073">https://doi.org/10.1098/rsif.2018.0073</a>
  chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Language Acquisition with Communication between Learners.” <i>Journal
    of the Royal Society Interface</i>. The Royal Society, 2018. <a href="https://doi.org/10.1098/rsif.2018.0073">https://doi.org/10.1098/rsif.2018.0073</a>.
  ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Language acquisition
    with communication between learners,” <i>Journal of the Royal Society Interface</i>,
    vol. 15, no. 140. The Royal Society, 2018.
  ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2018. Language acquisition
    with communication between learners. Journal of the Royal Society Interface. 15(140),
    20180073.
  mla: Ibsen-Jensen, Rasmus, et al. “Language Acquisition with Communication between
    Learners.” <i>Journal of the Royal Society Interface</i>, vol. 15, no. 140, 20180073,
    The Royal Society, 2018, doi:<a href="https://doi.org/10.1098/rsif.2018.0073">10.1098/rsif.2018.0073</a>.
  short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, Journal of the Royal
    Society Interface 15 (2018).
date_created: 2018-12-11T11:45:09Z
date_published: 2018-03-01T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rsif.2018.0073
ec_funded: 1
external_id:
  isi:
  - '000428576200023'
  pmid:
  - '29593089'
file:
- access_level: open_access
  checksum: 444e1a9d98eb0e780671be82b13025f3
  content_type: application/pdf
  creator: dernst
  date_created: 2019-02-12T07:54:37Z
  date_updated: 2020-07-14T12:45:22Z
  file_id: '5955'
  file_name: 2018_RS_IbsenJensen.pdf
  file_size: 219837
  relation: main_file
file_date_updated: 2020-07-14T12:45:22Z
has_accepted_license: '1'
intvolume: '        15'
isi: 1
issue: '140'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Journal of the Royal Society Interface
publication_identifier:
  eissn:
  - 1742-5662
publication_status: published
publisher: The Royal Society
publist_id: '7715'
quality_controlled: '1'
related_material:
  link:
  - relation: supplementary_material
    url: https://dx.doi.org/10.6084/m9.figshare.c.4028971
  record:
  - id: '9814'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Language acquisition with communication between learners
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2018'
...
---
_id: '2'
abstract:
- lang: eng
  text: Indirect reciprocity explores how humans act when their reputation is at stake,
    and which social norms they use to assess the actions of others. A crucial question
    in indirect reciprocity is which social norms can maintain stable cooperation
    in a society. Past research has highlighted eight such norms, called “leading-eight”
    strategies. This past research, however, is based on the assumption that all relevant
    information about other population members is publicly available and that everyone
    agrees on who is good or bad. Instead, here we explore the reputation dynamics
    when information is private and noisy. We show that under these conditions, most
    leading-eight strategies fail to evolve. Those leading-eight strategies that do
    evolve are unable to sustain full cooperation.Indirect reciprocity is a mechanism
    for cooperation based on shared moral systems and individual reputations. It assumes
    that members of a community routinely observe and assess each other and that they
    use this information to decide who is good or bad, and who deserves cooperation.
    When information is transmitted publicly, such that all community members agree
    on each other’s reputation, previous research has highlighted eight crucial moral
    systems. These “leading-eight” strategies can maintain cooperation and resist
    invasion by defectors. However, in real populations individuals often hold their
    own private views of others. Once two individuals disagree about their opinion
    of some third party, they may also see its subsequent actions in a different light.
    Their opinions may further diverge over time. Herein, we explore indirect reciprocity
    when information transmission is private and noisy. We find that in the presence
    of perception errors, most leading-eight strategies cease to be stable. Even if
    a leading-eight strategy evolves, cooperation rates may drop considerably when
    errors are common. Our research highlights the role of reliable information and
    synchronized reputations to maintain stable moral systems.
article_processing_charge: No
author:
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Laura
  full_name: Schmid, Laura
  id: 38B437DE-F248-11E8-B48F-1D18A9856A87
  last_name: Schmid
  orcid: 0000-0002-6978-7329
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Hilbe C, Schmid L, Tkadlec J, Chatterjee K, Nowak M. Indirect reciprocity with
    private, noisy, and incomplete information. <i>PNAS</i>. 2018;115(48):12241-12246.
    doi:<a href="https://doi.org/10.1073/pnas.1810565115">10.1073/pnas.1810565115</a>
  apa: Hilbe, C., Schmid, L., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2018).
    Indirect reciprocity with private, noisy, and incomplete information. <i>PNAS</i>.
    National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.1810565115">https://doi.org/10.1073/pnas.1810565115</a>
  chicago: Hilbe, Christian, Laura Schmid, Josef Tkadlec, Krishnendu Chatterjee, and
    Martin Nowak. “Indirect Reciprocity with Private, Noisy, and Incomplete Information.”
    <i>PNAS</i>. National Academy of Sciences, 2018. <a href="https://doi.org/10.1073/pnas.1810565115">https://doi.org/10.1073/pnas.1810565115</a>.
  ieee: C. Hilbe, L. Schmid, J. Tkadlec, K. Chatterjee, and M. Nowak, “Indirect reciprocity
    with private, noisy, and incomplete information,” <i>PNAS</i>, vol. 115, no. 48.
    National Academy of Sciences, pp. 12241–12246, 2018.
  ista: Hilbe C, Schmid L, Tkadlec J, Chatterjee K, Nowak M. 2018. Indirect reciprocity
    with private, noisy, and incomplete information. PNAS. 115(48), 12241–12246.
  mla: Hilbe, Christian, et al. “Indirect Reciprocity with Private, Noisy, and Incomplete
    Information.” <i>PNAS</i>, vol. 115, no. 48, National Academy of Sciences, 2018,
    pp. 12241–46, doi:<a href="https://doi.org/10.1073/pnas.1810565115">10.1073/pnas.1810565115</a>.
  short: C. Hilbe, L. Schmid, J. Tkadlec, K. Chatterjee, M. Nowak, PNAS 115 (2018)
    12241–12246.
date_created: 2018-12-11T11:44:05Z
date_published: 2018-11-27T00:00:00Z
date_updated: 2025-07-14T09:10:09Z
day: '27'
department:
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doi: 10.1073/pnas.1810565115
ec_funded: 1
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language:
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main_file_link:
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oa: 1
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page: 12241-12246
pmid: 1
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title: Indirect reciprocity with private, noisy, and incomplete information
type: journal_article
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volume: 115
year: '2018'
...
---
_id: '5751'
abstract:
- lang: eng
  text: 'Because of the intrinsic randomness of the evolutionary process, a mutant
    with a fitness advantage has some chance to be selected but no certainty. Any
    experiment that searches for advantageous mutants will lose many of them due to
    random drift. It is therefore of great interest to find population structures
    that improve the odds of advantageous mutants. Such structures are called amplifiers
    of natural selection: they increase the probability that advantageous mutants
    are selected. Arbitrarily strong amplifiers guarantee the selection of advantageous
    mutants, even for very small fitness advantage. Despite intensive research over
    the past decade, arbitrarily strong amplifiers have remained rare. Here we show
    how to construct a large variety of them. Our amplifiers are so simple that they
    could be useful in biotechnology, when optimizing biological molecules, or as
    a diagnostic tool, when searching for faster dividing cells or viruses. They could
    also occur in natural population structures.'
article_number: '71'
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak MA. Construction of arbitrarily
    strong amplifiers of natural selection using evolutionary graph theory. <i>Communications
    Biology</i>. 2018;1(1). doi:<a href="https://doi.org/10.1038/s42003-018-0078-7">10.1038/s42003-018-0078-7</a>
  apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. A. (2018). Construction
    of arbitrarily strong amplifiers of natural selection using evolutionary graph
    theory. <i>Communications Biology</i>. Springer Nature. <a href="https://doi.org/10.1038/s42003-018-0078-7">https://doi.org/10.1038/s42003-018-0078-7</a>
  chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    A. Nowak. “Construction of Arbitrarily Strong Amplifiers of Natural Selection
    Using Evolutionary Graph Theory.” <i>Communications Biology</i>. Springer Nature,
    2018. <a href="https://doi.org/10.1038/s42003-018-0078-7">https://doi.org/10.1038/s42003-018-0078-7</a>.
  ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. A. Nowak, “Construction
    of arbitrarily strong amplifiers of natural selection using evolutionary graph
    theory,” <i>Communications Biology</i>, vol. 1, no. 1. Springer Nature, 2018.
  ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak MA. 2018. Construction of arbitrarily
    strong amplifiers of natural selection using evolutionary graph theory. Communications
    Biology. 1(1), 71.
  mla: Pavlogiannis, Andreas, et al. “Construction of Arbitrarily Strong Amplifiers
    of Natural Selection Using Evolutionary Graph Theory.” <i>Communications Biology</i>,
    vol. 1, no. 1, 71, Springer Nature, 2018, doi:<a href="https://doi.org/10.1038/s42003-018-0078-7">10.1038/s42003-018-0078-7</a>.
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M.A. Nowak, Communications Biology
    1 (2018).
date_created: 2018-12-18T13:22:58Z
date_published: 2018-06-14T00:00:00Z
date_updated: 2024-02-21T13:48:42Z
day: '14'
ddc:
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- '519'
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department:
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doi: 10.1038/s42003-018-0078-7
ec_funded: 1
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oa: 1
oa_version: Published Version
project:
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  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
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  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Communications Biology
publication_identifier:
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publication_status: published
publisher: Springer Nature
pubrep_id: '1045'
quality_controlled: '1'
related_material:
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title: Construction of arbitrarily strong amplifiers of natural selection using evolutionary
  graph theory
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abstract:
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  text: 'The fixation probability is the probability that a new mutant introduced
    in a homogeneous population eventually takes over the entire population. The fixation
    probability is a fundamental quantity of natural selection, and known to depend
    on the population structure. Amplifiers of natural selection are population structures
    which increase the fixation probability of advantageous mutants, as compared to
    the baseline case of well-mixed populations. In this work we focus on symmetric
    population structures represented as undirected graphs. In the regime of undirected
    graphs, the strongest amplifier known has been the Star graph, and the existence
    of undirected graphs with stronger amplification properties has remained open
    for over a decade. In this work we present the Comet and Comet-swarm families
    of undirected graphs. We show that for a range of fitness values of the mutants,
    the Comet and Cometswarm graphs have fixation probability strictly larger than
    the fixation probability of the Star graph, for fixed population size and at the
    limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
    population structures: Comets beat stars. <i>Scientific Reports</i>. 2017;7(1).
    doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>'
  apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2017). Amplification
    on undirected population structures: Comets beat stars. <i>Scientific Reports</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>'
  chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
    <i>Scientific Reports</i>. Nature Publishing Group, 2017. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>.'
  ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
    on undirected population structures: Comets beat stars,” <i>Scientific Reports</i>,
    vol. 7, no. 1. Nature Publishing Group, 2017.'
  ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
    undirected population structures: Comets beat stars. Scientific Reports. 7(1),
    82.'
  mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
    Comets Beat Stars.” <i>Scientific Reports</i>, vol. 7, no. 1, 82, Nature Publishing
    Group, 2017, doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>.'
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
    7 (2017).
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-02-23T12:26:57Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
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oa: 1
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  grant_number: P 23499-N23
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  name: 'Quantitative Graph Games: Theory and Applications'
publication: Scientific Reports
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title: 'Amplification on undirected population structures: Comets beat stars'
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---
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abstract:
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  text: Strong amplifiers of natural selection
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  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak , Martin
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citation:
  ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. Strong amplifiers of natural
    selection. 2017. doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>
  apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak , M. (2017). Strong
    amplifiers of natural selection. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>
  chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak . “Strong Amplifiers of Natural Selection.” Institute of Science and Technology
    Austria, 2017. <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>.
  ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak , “Strong amplifiers
    of natural selection.” Institute of Science and Technology Austria, 2017.
  ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. 2017. Strong amplifiers
    of natural selection, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  mla: Pavlogiannis, Andreas, et al. <i>Strong Amplifiers of Natural Selection</i>.
    Institute of Science and Technology Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak , (2017).
datarep_id: '51'
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department:
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ec_funded: 1
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keyword:
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month: '01'
oa: 1
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  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publisher: Institute of Science and Technology Austria
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