---
_id: '14456'
abstract:
- lang: eng
  text: In this paper, we present novel algorithms that efficiently compute a shortest
    reconfiguration sequence between two given dominating sets in trees and interval
    graphs under the TOKEN SLIDING model. In this problem, a graph is provided along
    with its two dominating sets, which can be imagined as tokens placed on vertices.
    The objective is to find a shortest sequence of dominating sets that transforms
    one set into the other, with each set in the sequence resulting from sliding a
    single token in the previous set. While identifying any sequence has been well
    studied, our work presents the first polynomial algorithms for this optimization
    variant in the context of dominating sets.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan Matyáš
  full_name: Křišťan, Jan Matyáš
  last_name: Křišťan
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Křišťan JM, Svoboda J. Shortest dominating set reconfiguration under token
    sliding. In: <i>24th International Symposium on Fundamentals of Computation Theory</i>.
    Vol 14292. Springer Nature; 2023:333-347. doi:<a href="https://doi.org/10.1007/978-3-031-43587-4_24">10.1007/978-3-031-43587-4_24</a>'
  apa: 'Křišťan, J. M., &#38; Svoboda, J. (2023). Shortest dominating set reconfiguration
    under token sliding. In <i>24th International Symposium on Fundamentals of Computation
    Theory</i> (Vol. 14292, pp. 333–347). Trier, Germany: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-43587-4_24">https://doi.org/10.1007/978-3-031-43587-4_24</a>'
  chicago: Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration
    under Token Sliding.” In <i>24th International Symposium on Fundamentals of Computation
    Theory</i>, 14292:333–47. Springer Nature, 2023. <a href="https://doi.org/10.1007/978-3-031-43587-4_24">https://doi.org/10.1007/978-3-031-43587-4_24</a>.
  ieee: J. M. Křišťan and J. Svoboda, “Shortest dominating set reconfiguration under
    token sliding,” in <i>24th International Symposium on Fundamentals of Computation
    Theory</i>, Trier, Germany, 2023, vol. 14292, pp. 333–347.
  ista: 'Křišťan JM, Svoboda J. 2023. Shortest dominating set reconfiguration under
    token sliding. 24th International Symposium on Fundamentals of Computation Theory.
    FCT: Fundamentals of Computation Theory, LNCS, vol. 14292, 333–347.'
  mla: Křišťan, Jan Matyáš, and Jakub Svoboda. “Shortest Dominating Set Reconfiguration
    under Token Sliding.” <i>24th International Symposium on Fundamentals of Computation
    Theory</i>, vol. 14292, Springer Nature, 2023, pp. 333–47, doi:<a href="https://doi.org/10.1007/978-3-031-43587-4_24">10.1007/978-3-031-43587-4_24</a>.
  short: J.M. Křišťan, J. Svoboda, in:, 24th International Symposium on Fundamentals
    of Computation Theory, Springer Nature, 2023, pp. 333–347.
conference:
  end_date: 2023-09-21
  location: Trier, Germany
  name: 'FCT: Fundamentals of Computation Theory'
  start_date: 2023-09-18
date_created: 2023-10-29T23:01:16Z
date_published: 2023-09-21T00:00:00Z
date_updated: 2024-01-22T08:10:49Z
day: '21'
department:
- _id: KrCh
doi: 10.1007/978-3-031-43587-4_24
external_id:
  arxiv:
  - '2307.10847'
intvolume: '     14292'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2307.10847
month: '09'
oa: 1
oa_version: Preprint
page: 333-347
publication: 24th International Symposium on Fundamentals of Computation Theory
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031435867'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1007/978-3-031-43587-4_31
scopus_import: '1'
status: public
title: Shortest dominating set reconfiguration under token sliding
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 14292
year: '2023'
...
---
_id: '14736'
abstract:
- lang: eng
  text: Payment channel networks (PCNs) are a promising technology to improve the
    scalability of cryptocurrencies. PCNs, however, face the challenge that the frequent
    usage of certain routes may deplete channels in one direction, and hence prevent
    further transactions. In order to reap the full potential of PCNs, recharging
    and rebalancing mechanisms are required to provision channels, as well as an admission
    control logic to decide which transactions to reject in case capacity is insufficient.
    This paper presents a formal model of this optimisation problem. In particular,
    we consider an online algorithms perspective, where transactions arrive over time
    in an unpredictable manner. Our main contributions are competitive online algorithms
    which come with provable guarantees over time. We empirically evaluate our algorithms
    on randomly generated transactions to compare the average performance of our algorithms
    to our theoretical bounds. We also show how this model and approach differs from
    related problems in classic communication networks.
acknowledgement: Supported by the German Federal Ministry of Education and Research
  (BMBF), grant 16KISK020K (6G-RIC), 2021–2025, and ERC CoG 863818 (ForM-SMArt).
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Mahsa
  full_name: Bastankhah, Mahsa
  last_name: Bastankhah
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Mohammad Ali
  full_name: Maddah-Ali, Mohammad Ali
  last_name: Maddah-Ali
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
  orcid: 0009-0001-3676-4809
citation:
  ama: 'Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. R2:
    Boosting liquidity in payment channel networks with online admission control.
    In: <i>27th International Conference on Financial Cryptography and Data Security</i>.
    Vol 13950. Springer Nature; 2023:309-325. doi:<a href="https://doi.org/10.1007/978-3-031-47754-6_18">10.1007/978-3-031-47754-6_18</a>'
  apa: 'Bastankhah, M., Chatterjee, K., Maddah-Ali, M. A., Schmid, S., Svoboda, J.,
    &#38; Yeo, M. X. (2023). R2: Boosting liquidity in payment channel networks with online
    admission control. In <i>27th International Conference on Financial Cryptography
    and Data Security</i> (Vol. 13950, pp. 309–325). Bol, Brac, Croatia: Springer
    Nature. <a href="https://doi.org/10.1007/978-3-031-47754-6_18">https://doi.org/10.1007/978-3-031-47754-6_18</a>'
  chicago: 'Bastankhah, Mahsa, Krishnendu Chatterjee, Mohammad Ali Maddah-Ali, Stefan
    Schmid, Jakub Svoboda, and Michelle X Yeo. “R2: Boosting Liquidity in Payment
    Channel Networks with Online Admission Control.” In <i>27th International Conference
    on Financial Cryptography and Data Security</i>, 13950:309–25. Springer Nature,
    2023. <a href="https://doi.org/10.1007/978-3-031-47754-6_18">https://doi.org/10.1007/978-3-031-47754-6_18</a>.'
  ieee: 'M. Bastankhah, K. Chatterjee, M. A. Maddah-Ali, S. Schmid, J. Svoboda, and
    M. X. Yeo, “R2: Boosting liquidity in payment channel networks with online admission
    control,” in <i>27th International Conference on Financial Cryptography and Data
    Security</i>, Bol, Brac, Croatia, 2023, vol. 13950, pp. 309–325.'
  ista: 'Bastankhah M, Chatterjee K, Maddah-Ali MA, Schmid S, Svoboda J, Yeo MX. 2023.
    R2: Boosting liquidity in payment channel networks with online admission control.
    27th International Conference on Financial Cryptography and Data Security. FC:
    Financial Cryptography and Data Security, LNCS, vol. 13950, 309–325.'
  mla: 'Bastankhah, Mahsa, et al. “R2: Boosting Liquidity in Payment Channel Networks
    with Online Admission Control.” <i>27th International Conference on Financial
    Cryptography and Data Security</i>, vol. 13950, Springer Nature, 2023, pp. 309–25,
    doi:<a href="https://doi.org/10.1007/978-3-031-47754-6_18">10.1007/978-3-031-47754-6_18</a>.'
  short: M. Bastankhah, K. Chatterjee, M.A. Maddah-Ali, S. Schmid, J. Svoboda, M.X.
    Yeo, in:, 27th International Conference on Financial Cryptography and Data Security,
    Springer Nature, 2023, pp. 309–325.
conference:
  end_date: 2023-05-05
  location: Bol, Brac, Croatia
  name: 'FC: Financial Cryptography and Data Security'
  start_date: 2023-05-01
date_created: 2024-01-08T09:30:22Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2025-07-14T09:10:01Z
day: '01'
department:
- _id: KrCh
- _id: KrPi
doi: 10.1007/978-3-031-47754-6_18
ec_funded: 1
intvolume: '     13950'
language:
- iso: eng
month: '12'
oa_version: None
page: 309-325
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 27th International Conference on Financial Cryptography and Data Security
publication_identifier:
  eisbn:
  - '9783031477546'
  eissn:
  - 1611-3349
  isbn:
  - '9783031477539'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: 'R2: Boosting liquidity in payment channel networks with online admission control'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13950
year: '2023'
...
---
_id: '13238'
abstract:
- lang: eng
  text: "We consider a natural problem dealing with weighted packet selection across
    a rechargeable link, which e.g., finds applications in cryptocurrency networks.
    The capacity of a link (u, v) is determined by how much nodes u and v allocate
    for this link. Specifically, the input is a finite ordered sequence of packets
    that arrive in both directions along a link. Given (u, v) and a packet of weight
    x going from u to v, node u can either accept or reject the packet. If u accepts
    the packet, the capacity on link (u, v) decreases by x. Correspondingly, v’s capacity
    on (u, v) increases by x. If a node rejects the packet, this will entail a cost
    affinely linear in the weight of the packet. A link is “rechargeable” in the sense
    that the total capacity of the link has to remain constant, but the allocation
    of capacity at the ends of the link can depend arbitrarily on the nodes’ decisions.
    The goal is to minimise the sum of the capacity injected into the link and the
    cost of rejecting packets. We show that the problem is NP-hard, but can be approximated
    efficiently with a ratio of (1+ε)⋅(1+3–√) for some arbitrary ε>0.\r\n."
acknowledgement: We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful
  discussions about different variants of the problem. This work is supported by the
  European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025,
  the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant
  470029389 (FlexNets), 2021–2024.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
  orcid: 0009-0001-3676-4809
citation:
  ama: 'Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links
    in cryptocurrency networks: Complexity and approximation. In: <i>SIROCCO 2023:
    Structural Information and Communication Complexity </i>. Vol 13892. Springer
    Nature; 2023:576-594. doi:<a href="https://doi.org/10.1007/978-3-031-32733-9_26">10.1007/978-3-031-32733-9_26</a>'
  apa: 'Schmid, S., Svoboda, J., &#38; Yeo, M. X. (2023). Weighted packet selection
    for rechargeable links in cryptocurrency networks: Complexity and approximation.
    In <i>SIROCCO 2023: Structural Information and Communication Complexity </i> (Vol.
    13892, pp. 576–594). Alcala de Henares, Spain: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-32733-9_26">https://doi.org/10.1007/978-3-031-32733-9_26</a>'
  chicago: 'Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection
    for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.”
    In <i>SIROCCO 2023: Structural Information and Communication Complexity </i>,
    13892:576–94. Springer Nature, 2023. <a href="https://doi.org/10.1007/978-3-031-32733-9_26">https://doi.org/10.1007/978-3-031-32733-9_26</a>.'
  ieee: 'S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable
    links in cryptocurrency networks: Complexity and approximation,” in <i>SIROCCO
    2023: Structural Information and Communication Complexity </i>, Alcala de Henares,
    Spain, 2023, vol. 13892, pp. 576–594.'
  ista: 'Schmid S, Svoboda J, Yeo MX. 2023. Weighted packet selection for rechargeable
    links in cryptocurrency networks: Complexity and approximation. SIROCCO 2023:
    Structural Information and Communication Complexity . SIROCCO: Structural Information
    and Communication Complexity, LNCS, vol. 13892, 576–594.'
  mla: 'Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in Cryptocurrency
    Networks: Complexity and Approximation.” <i>SIROCCO 2023: Structural Information
    and Communication Complexity </i>, vol. 13892, Springer Nature, 2023, pp. 576–94,
    doi:<a href="https://doi.org/10.1007/978-3-031-32733-9_26">10.1007/978-3-031-32733-9_26</a>.'
  short: 'S. Schmid, J. Svoboda, M.X. Yeo, in:, SIROCCO 2023: Structural Information
    and Communication Complexity , Springer Nature, 2023, pp. 576–594.'
conference:
  end_date: 2023-06-09
  location: Alcala de Henares, Spain
  name: 'SIROCCO: Structural Information and Communication Complexity'
  start_date: 2023-06-06
date_created: 2023-07-16T22:01:12Z
date_published: 2023-05-25T00:00:00Z
date_updated: 2025-07-14T09:09:53Z
day: '25'
department:
- _id: KrPi
- _id: KrCh
doi: 10.1007/978-3-031-32733-9_26
ec_funded: 1
external_id:
  arxiv:
  - '2204.13459'
intvolume: '     13892'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2204.13459
month: '05'
oa: 1
oa_version: Preprint
page: 576-594
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 'SIROCCO 2023: Structural Information and Communication Complexity '
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031327322'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '14506'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Weighted packet selection for rechargeable links in cryptocurrency networks:
  Complexity and approximation'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13892
year: '2023'
...
---
_id: '12676'
abstract:
- lang: eng
  text: Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum
    games played on directed graphs with probabilistic transitions. The goal of player-max
    is to maximize the probability to reach a target state against the adversarial
    player-min. These games lie in NP ∩ coNP and are among the rare combinatorial
    problems that belong to this complexity class for which the existence of polynomial-time
    algorithm is a major open question. While randomized sub-exponential time algorithm
    exists, all known deterministic algorithms require exponential time in the worst-case.
    An important open question has been whether faster algorithms can be obtained
    parametrized by the treewidth of the game graph. Even deterministic sub-exponential
    time algorithm for constant treewidth turn-based stochastic games has remain elusive.
    In this work our main result is a deterministic algorithm to solve turn-based
    stochastic games that, given a game with n states, treewidth at most t, and the
    bit-complexity of the probabilistic transition function log D, has running time
    O ((tn2 log D)t log n). In particular, our algorithm is quasi-polynomial time
    for games with constant or poly-logarithmic treewidth.
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt)
  grant.
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. Faster algorithm
    for turn-based stochastic games with bounded treewidth. In: <i>Proceedings of
    the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>. Society for Industrial
    and Applied Mathematics; 2023:4590-4605. doi:<a href="https://doi.org/10.1137/1.9781611977554.ch173">10.1137/1.9781611977554.ch173</a>'
  apa: 'Chatterjee, K., Meggendorfer, T., Saona Urmeneta, R. J., &#38; Svoboda, J.
    (2023). Faster algorithm for turn-based stochastic games with bounded treewidth.
    In <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>
    (pp. 4590–4605). Florence, Italy: Society for Industrial and Applied Mathematics.
    <a href="https://doi.org/10.1137/1.9781611977554.ch173">https://doi.org/10.1137/1.9781611977554.ch173</a>'
  chicago: Chatterjee, Krishnendu, Tobias Meggendorfer, Raimundo J Saona Urmeneta,
    and Jakub Svoboda. “Faster Algorithm for Turn-Based Stochastic Games with Bounded
    Treewidth.” In <i>Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete
    Algorithms</i>, 4590–4605. Society for Industrial and Applied Mathematics, 2023.
    <a href="https://doi.org/10.1137/1.9781611977554.ch173">https://doi.org/10.1137/1.9781611977554.ch173</a>.
  ieee: K. Chatterjee, T. Meggendorfer, R. J. Saona Urmeneta, and J. Svoboda, “Faster
    algorithm for turn-based stochastic games with bounded treewidth,” in <i>Proceedings
    of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Florence, Italy,
    2023, pp. 4590–4605.
  ista: 'Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. 2023. Faster
    algorithm for turn-based stochastic games with bounded treewidth. Proceedings
    of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium
    on Discrete Algorithms, 4590–4605.'
  mla: Chatterjee, Krishnendu, et al. “Faster Algorithm for Turn-Based Stochastic
    Games with Bounded Treewidth.” <i>Proceedings of the 2023 Annual ACM-SIAM Symposium
    on Discrete Algorithms</i>, Society for Industrial and Applied Mathematics, 2023,
    pp. 4590–605, doi:<a href="https://doi.org/10.1137/1.9781611977554.ch173">10.1137/1.9781611977554.ch173</a>.
  short: K. Chatterjee, T. Meggendorfer, R.J. Saona Urmeneta, J. Svoboda, in:, Proceedings
    of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial
    and Applied Mathematics, 2023, pp. 4590–4605.
conference:
  end_date: 2023-01-25
  location: Florence, Italy
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2023-01-22
date_created: 2023-02-24T12:20:47Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2025-07-14T09:09:50Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1137/1.9781611977554.ch173
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1137/1.9781611977554.ch173
month: '02'
oa: 1
oa_version: Published Version
page: 4590-4605
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 2023 Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  isbn:
  - '9781611977554'
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
status: public
title: Faster algorithm for turn-based stochastic games with bounded treewidth
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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: '10731'
abstract:
- lang: eng
  text: Motivated by COVID-19, we develop and analyze a simple stochastic model for
    the spread of disease in human population. We track how the number of infected
    and critically ill people develops over time in order to estimate the demand that
    is imposed on the hospital system. To keep this demand under control, we consider
    a class of simple policies for slowing down and reopening society and we compare
    their efficiency in mitigating the spread of the virus from several different
    points of view. We find that in order to avoid overwhelming of the hospital system,
    a policy must impose a harsh lockdown or it must react swiftly (or both). While
    reacting swiftly is universally beneficial, being harsh pays off only when the
    country is patient about reopening and when the neighboring countries coordinate
    their mitigation efforts. Our work highlights the importance of acting decisively
    when closing down and the importance of patience and coordination between neighboring
    countries when reopening.
acknowledgement: 'K.C. acknowledges support from ERC Consolidator Grant No. (863818:
  ForM-SMart). A.P. acknowledges support from FWF Grant No. J-4220. M.A.N. acknowledges
  support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton
  Foundation.'
article_number: '1526'
article_processing_charge: No
article_type: original
arxiv: 1
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
  last_name: Tkadlec
- 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: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Infection dynamics
    of COVID-19 virus under lockdown and reopening. <i>Scientific Reports</i>. 2022;12(1).
    doi:<a href="https://doi.org/10.1038/s41598-022-05333-5">10.1038/s41598-022-05333-5</a>
  apa: Svoboda, J., Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M.
    A. (2022). Infection dynamics of COVID-19 virus under lockdown and reopening.
    <i>Scientific Reports</i>. Springer Nature. <a href="https://doi.org/10.1038/s41598-022-05333-5">https://doi.org/10.1038/s41598-022-05333-5</a>
  chicago: Svoboda, Jakub, Josef Tkadlec, Andreas Pavlogiannis, Krishnendu Chatterjee,
    and Martin A. Nowak. “Infection Dynamics of COVID-19 Virus under Lockdown and
    Reopening.” <i>Scientific Reports</i>. Springer Nature, 2022. <a href="https://doi.org/10.1038/s41598-022-05333-5">https://doi.org/10.1038/s41598-022-05333-5</a>.
  ieee: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Infection
    dynamics of COVID-19 virus under lockdown and reopening,” <i>Scientific Reports</i>,
    vol. 12, no. 1. Springer Nature, 2022.
  ista: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2022. Infection
    dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. 12(1),
    1526.
  mla: Svoboda, Jakub, et al. “Infection Dynamics of COVID-19 Virus under Lockdown
    and Reopening.” <i>Scientific Reports</i>, vol. 12, no. 1, 1526, Springer Nature,
    2022, doi:<a href="https://doi.org/10.1038/s41598-022-05333-5">10.1038/s41598-022-05333-5</a>.
  short: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Scientific
    Reports 12 (2022).
date_created: 2022-02-06T23:01:30Z
date_published: 2022-01-27T00:00:00Z
date_updated: 2025-07-14T09:10:12Z
day: '27'
ddc:
- '570'
department:
- _id: KrCh
doi: 10.1038/s41598-022-05333-5
ec_funded: 1
external_id:
  arxiv:
  - '2012.15155'
  isi:
  - '000749198000039'
file:
- access_level: open_access
  checksum: 247afd30c173390940f099ead35a28ed
  content_type: application/pdf
  creator: alisjak
  date_created: 2022-02-07T14:57:59Z
  date_updated: 2022-02-07T14:57:59Z
  file_id: '10744'
  file_name: 2022_ScientificReports_Svoboda.pdf
  file_size: 2971922
  relation: main_file
  success: 1
file_date_updated: 2022-02-07T14:57:59Z
has_accepted_license: '1'
intvolume: '        12'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
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: Scientific Reports
publication_identifier:
  eissn:
  - 2045-2322
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infection dynamics of COVID-19 virus under lockdown and reopening
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: '2022'
...
---
_id: '12101'
abstract:
- lang: eng
  text: 'Spatial games form a widely-studied class of games from biology and physics
    modeling the evolution of social behavior. Formally, such a game is defined by
    a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G
    represents an individual, that initially follows some strategy i ∈ {1,2,…,d}.
    In each round of the game, every individual plays the matrix game with each of
    its neighbors: An individual following strategy i meeting a neighbor following
    strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual
    updates its strategy to its neighbors'' strategy with the highest sum of payoffs,
    and the next round starts. The basic computational problems consist of reachability
    between configurations and the average frequency of a strategy. For general spatial
    games and graphs, these problems are in PSPACE. In this paper, we examine restricted
    setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove
    that basic computational problems for spatial games with prisoner’s dilemma on
    a subgraph of a grid are PSPACE-hard.'
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
  ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported
  by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported
  by the ERC CoG 863818 (ForM-SMArt)"
article_number: 11:1-11:14
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- 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: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Complexity of spatial
    games. In: <i>42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., &#38; Svoboda, J. (2022).
    Complexity of spatial games. In <i>42nd IARCS Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science</i> (Vol. 250). Madras,
    India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
    Svoboda. “Complexity of Spatial Games.” In <i>42nd IARCS Annual Conference on
    Foundations of Software Technology and Theoretical Computer Science</i>, Vol.
    250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity
    of spatial games,” in <i>42nd IARCS Annual Conference on Foundations of Software
    Technology and Theoretical Computer Science</i>, Madras, India, 2022, vol. 250.
  ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial
    games. 42nd IARCS Annual Conference on Foundations of Software Technology and
    Theoretical Computer Science. FSTTC: Foundations of Software Technology and Theoretical
    Computer Science vol. 250, 11:1-11:14.'
  mla: Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” <i>42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science</i>, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2022-12-20
  location: Madras, India
  name: 'FSTTC: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2022-12-18
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2025-07-14T09:09:55Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2022.11
ec_funded: 1
file:
- access_level: open_access
  checksum: a21e3ba2421e2c4a06aa2cb6d530ede1
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T10:19:19Z
  date_updated: 2023-01-20T10:19:19Z
  file_id: '12323'
  file_name: 2022_LIPICs_Chatterjee.pdf
  file_size: 657396
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T10:19:19Z
has_accepted_license: '1'
intvolume: '       250'
language:
- iso: eng
month: '12'
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: 42nd IARCS Annual Conference on Foundations of Software Technology and
  Theoretical Computer Science
publication_identifier:
  isbn:
  - '9783959772617'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Complexity of spatial games
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: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
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: '8533'
abstract:
- lang: eng
  text: Game of Life is a simple and elegant model to study dynamical system over
    networks. The model consists of a graph where every vertex has one of two types,
    namely, dead or alive. A configuration is a mapping of the vertices to the types.
    An update rule describes how the type of a vertex is updated given the types of
    its neighbors. In every round, all vertices are updated synchronously, which leads
    to a configuration update. While in general, Game of Life allows a broad range
    of update rules, we focus on two simple families of update rules, namely, underpopulation
    and overpopulation, that model several interesting dynamics studied in the literature.
    In both settings, a dead vertex requires at least a desired number of live neighbors
    to become alive. For underpopulation (resp., overpopulation), a live vertex requires
    at least (resp. at most) a desired number of live neighbors to remain alive. We
    study the basic computation problems, e.g., configuration reachability, for these
    two families of rules. For underpopulation rules, we show that these problems
    can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete.
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
  Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker:
  This project has received funding from the European Union’s Horizon 2020 research\r\nand
  innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
alternative_title:
- LIPIcs
article_number: 22:1-22:13
article_processing_charge: No
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: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life:
    Algorithms and complexity. In: <i>45th International Symposium on Mathematical
    Foundations of Computer Science</i>. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">10.4230/LIPIcs.MFCS.2020.22</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., &#38; Svoboda, J. (2020).
    Simplified game of life: Algorithms and complexity. In <i>45th International Symposium
    on Mathematical Foundations of Computer Science</i> (Vol. 170). Prague, Czech
    Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">https://doi.org/10.4230/LIPIcs.MFCS.2020.22</a>'
  chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
    Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In <i>45th International
    Symposium on Mathematical Foundations of Computer Science</i>, Vol. 170. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">https://doi.org/10.4230/LIPIcs.MFCS.2020.22</a>.'
  ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified
    game of life: Algorithms and complexity,” in <i>45th International Symposium on
    Mathematical Foundations of Computer Science</i>, Prague, Czech Republic, 2020,
    vol. 170.'
  ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game
    of life: Algorithms and complexity. 45th International Symposium on Mathematical
    Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of
    Computer Science, LIPIcs, vol. 170, 22:1-22:13.'
  mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.”
    <i>45th International Symposium on Mathematical Foundations of Computer Science</i>,
    vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020,
    doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2020.22">10.4230/LIPIcs.MFCS.2020.22</a>.'
  short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International
    Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-08-28
  location: Prague, Czech Republic
  name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
  start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2025-06-02T08:53:42Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.22
ec_funded: 1
external_id:
  arxiv:
  - '2007.02894'
file:
- access_level: open_access
  checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1
  content_type: application/pdf
  creator: dernst
  date_created: 2020-09-21T13:57:34Z
  date_updated: 2020-09-21T13:57:34Z
  file_id: '8550'
  file_name: 2020_LIPIcs_Chatterjee.pdf
  file_size: 491374
  relation: main_file
  success: 1
file_date_updated: 2020-09-21T13:57:34Z
has_accepted_license: '1'
intvolume: '       170'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
  Science
publication_identifier:
  isbn:
  - '9783959771597'
  issn:
  - '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simplified game of life: Algorithms and complexity'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
