---
_id: '10350'
abstract:
- lang: eng
  text: The misfolding and aberrant aggregation of proteins into fibrillar structures
    is a key factor in some of the most prevalent human diseases, including diabetes
    and dementia. Low molecular weight oligomers are thought to be a central factor
    in the pathology of these diseases, as well as critical intermediates in the fibril
    formation process, and as such have received much recent attention. Moreover,
    on-pathway oligomeric intermediates are potential targets for therapeutic strategies
    aimed at interrupting the fibril formation process. However, a consistent framework
    for distinguishing on-pathway from off-pathway oligomers has hitherto been lacking
    and, in particular, no consensus definition of on- and off-pathway oligomers is
    available. In this paper, we argue that a non-binary definition of oligomers'
    contribution to fibril-forming pathways may be more informative and we suggest
    a quantitative framework, in which each oligomeric species is assigned a value
    between 0 and 1 describing its relative contribution to the formation of fibrils.
    First, we clarify the distinction between oligomers and fibrils, and then we use
    the formalism of reaction networks to develop a general definition for on-pathway
    oligomers, that yields meaningful classifications in the context of amyloid formation.
    By applying these concepts to Monte Carlo simulations of a minimal aggregating
    system, and by revisiting several previous studies of amyloid oligomers in light
    of our new framework, we demonstrate how to perform these classifications in practice.
    For each oligomeric species we obtain the degree to which it is on-pathway, highlighting
    the most effective pharmaceutical targets for the inhibition of amyloid fibril
    formation.
acknowledgement: We are grateful to the Schiff Foundation (AJD), Peterhouse, Cambridge
  (TCTM), the Swiss National Science foundation (TCTM), Ramon Jenkins Fellowship,
  Sidney Sussex, Cambridge (GM), the Royal Society (AŠ), the Academy of Medical Sciences
  and Wellcome Trust (AŠ), the Danish Research Council (MK), the Lundbeck Foundation
  (MK), the Swedish Research Council (SL), the Wellcome Trust (TPJK), the Cambridge
  Centre for Misfolding Diseases (TPJK), the BBSRC (TPJK), the Frances and Augustus
  Newman Foundation (TPJK) for financial support. The research leading to these results
  has received funding from the European Research Council under the European Union's
  Seventh Framework Programme (FP7/2007-2013) through the ERC grants PhysProt (agreement
  no. 337969), MAMBA (agreement no. 340890) and NovoNordiskFonden (SL).
article_processing_charge: No
article_type: original
author:
- first_name: Alexander J.
  full_name: Dear, Alexander J.
  last_name: Dear
- first_name: Georg
  full_name: Meisl, Georg
  last_name: Meisl
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Thomas C. T.
  full_name: Michaels, Thomas C. T.
  last_name: Michaels
- first_name: Magnus
  full_name: Kjaergaard, Magnus
  last_name: Kjaergaard
- first_name: Sara
  full_name: Linse, Sara
  last_name: Linse
- first_name: Tuomas P. J.
  full_name: Knowles, Tuomas P. J.
  last_name: Knowles
citation:
  ama: Dear AJ, Meisl G, Šarić A, et al. Identification of on- and off-pathway oligomers
    in amyloid fibril formation. <i>Chemical Science</i>. 2020;11(24):6236-6247. doi:<a
    href="https://doi.org/10.1039/c9sc06501f">10.1039/c9sc06501f</a>
  apa: Dear, A. J., Meisl, G., Šarić, A., Michaels, T. C. T., Kjaergaard, M., Linse,
    S., &#38; Knowles, T. P. J. (2020). Identification of on- and off-pathway oligomers
    in amyloid fibril formation. <i>Chemical Science</i>. Royal Society of Chemistry.
    <a href="https://doi.org/10.1039/c9sc06501f">https://doi.org/10.1039/c9sc06501f</a>
  chicago: Dear, Alexander J., Georg Meisl, Anđela Šarić, Thomas C. T. Michaels, Magnus
    Kjaergaard, Sara Linse, and Tuomas P. J. Knowles. “Identification of On- and off-Pathway
    Oligomers in Amyloid Fibril Formation.” <i>Chemical Science</i>. Royal Society
    of Chemistry, 2020. <a href="https://doi.org/10.1039/c9sc06501f">https://doi.org/10.1039/c9sc06501f</a>.
  ieee: A. J. Dear <i>et al.</i>, “Identification of on- and off-pathway oligomers
    in amyloid fibril formation,” <i>Chemical Science</i>, vol. 11, no. 24. Royal
    Society of Chemistry, pp. 6236–6247, 2020.
  ista: Dear AJ, Meisl G, Šarić A, Michaels TCT, Kjaergaard M, Linse S, Knowles TPJ.
    2020. Identification of on- and off-pathway oligomers in amyloid fibril formation.
    Chemical Science. 11(24), 6236–6247.
  mla: Dear, Alexander J., et al. “Identification of On- and off-Pathway Oligomers
    in Amyloid Fibril Formation.” <i>Chemical Science</i>, vol. 11, no. 24, Royal
    Society of Chemistry, 2020, pp. 6236–47, doi:<a href="https://doi.org/10.1039/c9sc06501f">10.1039/c9sc06501f</a>.
  short: A.J. Dear, G. Meisl, A. Šarić, T.C.T. Michaels, M. Kjaergaard, S. Linse,
    T.P.J. Knowles, Chemical Science 11 (2020) 6236–6247.
date_created: 2021-11-26T09:08:19Z
date_published: 2020-06-08T00:00:00Z
date_updated: 2021-11-26T11:21:20Z
day: '08'
doi: 10.1039/c9sc06501f
extern: '1'
external_id:
  pmid:
  - '32953019'
intvolume: '        11'
issue: '24'
keyword:
- general chemistry
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/3.0/
main_file_link:
- open_access: '1'
  url: https://pubs.rsc.org/en/content/articlehtml/2020/sc/c9sc06501f
month: '06'
oa: 1
oa_version: Published Version
page: 6236-6247
pmid: 1
publication: Chemical Science
publication_identifier:
  eissn:
  - 2041-6539
  issn:
  - 2041-6520
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Identification of on- and off-pathway oligomers in amyloid fibril formation
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/3.0/legalcode
  name: Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)
  short: CC BY-NC (3.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 11
year: '2020'
...
---
_id: '10351'
abstract:
- lang: eng
  text: Oligomeric species populated during the aggregation of the Aβ42 peptide have
    been identified as potent cytotoxins linked to Alzheimer’s disease, but the fundamental
    molecular pathways that control their dynamics have yet to be elucidated. By developing
    a general approach that combines theory, experiment and simulation, we reveal,
    in molecular detail, the mechanisms of Aβ42 oligomer dynamics during amyloid fibril
    formation. Even though all mature amyloid fibrils must originate as oligomers,
    we found that most Aβ42 oligomers dissociate into their monomeric precursors without
    forming new fibrils. Only a minority of oligomers converts into fibrillar structures.
    Moreover, the heterogeneous ensemble of oligomeric species interconverts on timescales
    comparable to those of aggregation. Our results identify fundamentally new steps
    that could be targeted by therapeutic interventions designed to combat protein
    misfolding diseases.
acknowledgement: We acknowledge support from Peterhouse (T.C.T.M.), the Swiss National
  Science foundation (T.C.T.M.), the Royal Society (A.Š.), the Academy of Medical
  Sciences (A.Š.), the UCL Institute for the Physics of Living Systems (S.C.), Sidney
  Sussex College (G.M.), the Wellcome Trust (A.Š., M.V., C.M.D. and T.P.J.K.), the
  Schiff Foundation (A.J.D.), the Cambridge Centre for Misfolding Diseases (M.V.,
  C.M.D. and T.P.J.K.), the BBSRC (C.M.D. and T.P.J.K.), the Frances and Augustus
  Newman Foundation (T.P.J.K.), the Swedish Research Council (S.L.) and the ERC grant
  MAMBA (S.L., agreement no. 340890). The research that led to these results received
  funding from the European Research Council under the European Union’s Seventh Framework
  Programme (FP7/2007-2013) through the ERC grant PhysProt (agreement no. 337969).
article_processing_charge: No
article_type: original
author:
- first_name: Thomas C. T.
  full_name: Michaels, Thomas C. T.
  last_name: Michaels
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Samo
  full_name: Curk, Samo
  last_name: Curk
- first_name: Katja
  full_name: Bernfur, Katja
  last_name: Bernfur
- first_name: Paolo
  full_name: Arosio, Paolo
  last_name: Arosio
- first_name: Georg
  full_name: Meisl, Georg
  last_name: Meisl
- first_name: Alexander J.
  full_name: Dear, Alexander J.
  last_name: Dear
- first_name: Samuel I. A.
  full_name: Cohen, Samuel I. A.
  last_name: Cohen
- first_name: Christopher M.
  full_name: Dobson, Christopher M.
  last_name: Dobson
- first_name: Michele
  full_name: Vendruscolo, Michele
  last_name: Vendruscolo
- first_name: Sara
  full_name: Linse, Sara
  last_name: Linse
- first_name: Tuomas P. J.
  full_name: Knowles, Tuomas P. J.
  last_name: Knowles
citation:
  ama: Michaels TCT, Šarić A, Curk S, et al. Dynamics of oligomer populations formed
    during the aggregation of Alzheimer’s Aβ42 peptide. <i>Nature Chemistry</i>. 2020;12(5):445-451.
    doi:<a href="https://doi.org/10.1038/s41557-020-0452-1">10.1038/s41557-020-0452-1</a>
  apa: Michaels, T. C. T., Šarić, A., Curk, S., Bernfur, K., Arosio, P., Meisl, G.,
    … Knowles, T. P. J. (2020). Dynamics of oligomer populations formed during the
    aggregation of Alzheimer’s Aβ42 peptide. <i>Nature Chemistry</i>. Springer Nature.
    <a href="https://doi.org/10.1038/s41557-020-0452-1">https://doi.org/10.1038/s41557-020-0452-1</a>
  chicago: Michaels, Thomas C. T., Anđela Šarić, Samo Curk, Katja Bernfur, Paolo Arosio,
    Georg Meisl, Alexander J. Dear, et al. “Dynamics of Oligomer Populations Formed
    during the Aggregation of Alzheimer’s Aβ42 Peptide.” <i>Nature Chemistry</i>.
    Springer Nature, 2020. <a href="https://doi.org/10.1038/s41557-020-0452-1">https://doi.org/10.1038/s41557-020-0452-1</a>.
  ieee: T. C. T. Michaels <i>et al.</i>, “Dynamics of oligomer populations formed
    during the aggregation of Alzheimer’s Aβ42 peptide,” <i>Nature Chemistry</i>,
    vol. 12, no. 5. Springer Nature, pp. 445–451, 2020.
  ista: Michaels TCT, Šarić A, Curk S, Bernfur K, Arosio P, Meisl G, Dear AJ, Cohen
    SIA, Dobson CM, Vendruscolo M, Linse S, Knowles TPJ. 2020. Dynamics of oligomer
    populations formed during the aggregation of Alzheimer’s Aβ42 peptide. Nature
    Chemistry. 12(5), 445–451.
  mla: Michaels, Thomas C. T., et al. “Dynamics of Oligomer Populations Formed during
    the Aggregation of Alzheimer’s Aβ42 Peptide.” <i>Nature Chemistry</i>, vol. 12,
    no. 5, Springer Nature, 2020, pp. 445–51, doi:<a href="https://doi.org/10.1038/s41557-020-0452-1">10.1038/s41557-020-0452-1</a>.
  short: T.C.T. Michaels, A. Šarić, S. Curk, K. Bernfur, P. Arosio, G. Meisl, A.J.
    Dear, S.I.A. Cohen, C.M. Dobson, M. Vendruscolo, S. Linse, T.P.J. Knowles, Nature
    Chemistry 12 (2020) 445–451.
date_created: 2021-11-26T09:15:13Z
date_published: 2020-04-13T00:00:00Z
date_updated: 2021-11-26T11:21:08Z
day: '13'
doi: 10.1038/s41557-020-0452-1
extern: '1'
external_id:
  pmid:
  - '32303714'
intvolume: '        12'
issue: '5'
keyword:
- general chemical engineering
- general chemistry
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.biorxiv.org/content/10.1101/2020.01.08.897488
month: '04'
oa: 1
oa_version: None
page: 445-451
pmid: 1
publication: Nature Chemistry
publication_identifier:
  eissn:
  - 1755-4349
  issn:
  - 1755-4330
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  link:
  - relation: erratum
    url: https://doi.org/10.1038/s41557-020-0468-6
scopus_import: '1'
status: public
title: Dynamics of oligomer populations formed during the aggregation of Alzheimer’s
  Aβ42 peptide
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 12
year: '2020'
...
---
_id: '10352'
abstract:
- lang: eng
  text: In the nuclear pore complex, intrinsically disordered nuclear pore proteins
    (FG Nups) form a selective barrier for transport into and out of the cell nucleus,
    in a way that remains poorly understood. The collective FG Nup behavior has long
    been conceptualized either as a polymer brush, dominated by entropic and excluded-volume
    (repulsive) interactions, or as a hydrogel, dominated by cohesive (attractive)
    interactions between FG Nups. Here we compare mesoscale computational simulations
    with a wide range of experimental data to demonstrate that FG Nups are at the
    crossover point between these two regimes. Specifically, we find that repulsive
    and attractive interactions are balanced, resulting in morphologies and dynamics
    that are close to those of ideal polymer chains. We demonstrate that this property
    of FG Nups yields sufficient cohesion to seal the transport barrier, and yet maintains
    fast dynamics at the molecular scale, permitting the rapid polymer rearrangements
    needed for transport events.
acknowledgement: We thank Dino Osmanović (MIT), Roy Beck (Tel-Aviv), Larissa Kapinos
  (Basel), Roderick Lim (Basel), Ralf Richter (Leeds), and Anton Zilman (Toronto)
  for discussions. This work was funded by the Royal Society (A.Š.) and the UK Engineering
  and Physical Sciences Research Council (EP/L504889/1, B.W.H.).
article_number: '022420'
article_processing_charge: No
article_type: original
author:
- first_name: Luke K.
  full_name: Davis, Luke K.
  last_name: Davis
- first_name: Ian J.
  full_name: Ford, Ian J.
  last_name: Ford
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Bart W.
  full_name: Hoogenboom, Bart W.
  last_name: Hoogenboom
citation:
  ama: Davis LK, Ford IJ, Šarić A, Hoogenboom BW. Intrinsically disordered nuclear
    pore proteins show ideal-polymer morphologies and dynamics. <i>Physical Review
    E</i>. 2020;101(2). doi:<a href="https://doi.org/10.1103/physreve.101.022420">10.1103/physreve.101.022420</a>
  apa: Davis, L. K., Ford, I. J., Šarić, A., &#38; Hoogenboom, B. W. (2020). Intrinsically
    disordered nuclear pore proteins show ideal-polymer morphologies and dynamics.
    <i>Physical Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/physreve.101.022420">https://doi.org/10.1103/physreve.101.022420</a>
  chicago: Davis, Luke K., Ian J. Ford, Anđela Šarić, and Bart W. Hoogenboom. “Intrinsically
    Disordered Nuclear Pore Proteins Show Ideal-Polymer Morphologies and Dynamics.”
    <i>Physical Review E</i>. American Physical Society, 2020. <a href="https://doi.org/10.1103/physreve.101.022420">https://doi.org/10.1103/physreve.101.022420</a>.
  ieee: L. K. Davis, I. J. Ford, A. Šarić, and B. W. Hoogenboom, “Intrinsically disordered
    nuclear pore proteins show ideal-polymer morphologies and dynamics,” <i>Physical
    Review E</i>, vol. 101, no. 2. American Physical Society, 2020.
  ista: Davis LK, Ford IJ, Šarić A, Hoogenboom BW. 2020. Intrinsically disordered
    nuclear pore proteins show ideal-polymer morphologies and dynamics. Physical Review
    E. 101(2), 022420.
  mla: Davis, Luke K., et al. “Intrinsically Disordered Nuclear Pore Proteins Show
    Ideal-Polymer Morphologies and Dynamics.” <i>Physical Review E</i>, vol. 101,
    no. 2, 022420, American Physical Society, 2020, doi:<a href="https://doi.org/10.1103/physreve.101.022420">10.1103/physreve.101.022420</a>.
  short: L.K. Davis, I.J. Ford, A. Šarić, B.W. Hoogenboom, Physical Review E 101 (2020).
date_created: 2021-11-26T09:41:04Z
date_published: 2020-02-28T00:00:00Z
date_updated: 2021-11-26T11:21:16Z
day: '28'
doi: 10.1103/physreve.101.022420
extern: '1'
external_id:
  pmid:
  - '32168597'
intvolume: '       101'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.biorxiv.org/content/10.1101/571687
month: '02'
oa: 1
oa_version: Preprint
pmid: 1
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: Intrinsically disordered nuclear pore proteins show ideal-polymer morphologies
  and dynamics
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 101
year: '2020'
...
---
_id: '10353'
abstract:
- lang: eng
  text: Experiments have suggested that bacterial mechanosensitive channels separate
    into 2D clusters, the role of which is unclear. By developing a coarse-grained
    computer model we find that clustering promotes the channel closure, which is
    highly dependent on the channel concentration and membrane stress. This behaviour
    yields a tightly regulated gating system, whereby at high tensions channels gate
    individually, and at lower tensions the channels spontaneously aggregate and inactivate.
    We implement this positive feedback into the model for cell volume regulation,
    and find that the channel clustering protects the cell against excessive loss
    of cytoplasmic content.
acknowledgement: We thank Samantha Miller, Bert Poolman, and the members of Šarić
  and Pilizota laboratories for useful discussion. We acknowledge support from the
  Engineering and Physical Sciences Research Council (A.P. and A.Š.), the UCL Institute
  for the Physics of Living Systems (A.P. and A.Š.), Darwin Trust of University of
  Edinburgh (H.S.), Industrial Biotechnology Innovation Centre (H.S. and T.P.), BBSRC
  Council Crossing Biological Membrane Network (H.S. and T.P.), BBSRC/EPSRC/MRC Synthetic
  Biology Research Centre (T.P.), and the Royal Society (A.Š.).
article_number: '048102'
article_processing_charge: No
article_type: original
author:
- first_name: Alexandru
  full_name: Paraschiv, Alexandru
  last_name: Paraschiv
- first_name: Smitha
  full_name: Hegde, Smitha
  last_name: Hegde
- first_name: Raman
  full_name: Ganti, Raman
  last_name: Ganti
- first_name: Teuta
  full_name: Pilizota, Teuta
  last_name: Pilizota
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
citation:
  ama: Paraschiv A, Hegde S, Ganti R, Pilizota T, Šarić A. Dynamic clustering regulates
    activity of mechanosensitive membrane channels. <i>Physical Review Letters</i>.
    2020;124(4). doi:<a href="https://doi.org/10.1103/physrevlett.124.048102">10.1103/physrevlett.124.048102</a>
  apa: Paraschiv, A., Hegde, S., Ganti, R., Pilizota, T., &#38; Šarić, A. (2020).
    Dynamic clustering regulates activity of mechanosensitive membrane channels. <i>Physical
    Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevlett.124.048102">https://doi.org/10.1103/physrevlett.124.048102</a>
  chicago: Paraschiv, Alexandru, Smitha Hegde, Raman Ganti, Teuta Pilizota, and Anđela
    Šarić. “Dynamic Clustering Regulates Activity of Mechanosensitive Membrane Channels.”
    <i>Physical Review Letters</i>. American Physical Society, 2020. <a href="https://doi.org/10.1103/physrevlett.124.048102">https://doi.org/10.1103/physrevlett.124.048102</a>.
  ieee: A. Paraschiv, S. Hegde, R. Ganti, T. Pilizota, and A. Šarić, “Dynamic clustering
    regulates activity of mechanosensitive membrane channels,” <i>Physical Review
    Letters</i>, vol. 124, no. 4. American Physical Society, 2020.
  ista: Paraschiv A, Hegde S, Ganti R, Pilizota T, Šarić A. 2020. Dynamic clustering
    regulates activity of mechanosensitive membrane channels. Physical Review Letters.
    124(4), 048102.
  mla: Paraschiv, Alexandru, et al. “Dynamic Clustering Regulates Activity of Mechanosensitive
    Membrane Channels.” <i>Physical Review Letters</i>, vol. 124, no. 4, 048102, American
    Physical Society, 2020, doi:<a href="https://doi.org/10.1103/physrevlett.124.048102">10.1103/physrevlett.124.048102</a>.
  short: A. Paraschiv, S. Hegde, R. Ganti, T. Pilizota, A. Šarić, Physical Review
    Letters 124 (2020).
date_created: 2021-11-26T09:57:01Z
date_published: 2020-01-31T00:00:00Z
date_updated: 2021-11-26T11:21:12Z
day: '31'
doi: 10.1103/physrevlett.124.048102
extern: '1'
external_id:
  pmid:
  - '32058787'
intvolume: '       124'
issue: '4'
keyword:
- general physics and astronomy
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.biorxiv.org/content/10.1101/553248
month: '01'
oa: 1
oa_version: Preprint
pmid: 1
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic clustering regulates activity of mechanosensitive membrane channels
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 124
year: '2020'
...
---
_id: '10556'
abstract:
- lang: eng
  text: In this paper, we present the first Asynchronous Distributed Key Generation
    (ADKG) algorithm which is also the first distributed key generation algorithm
    that can generate cryptographic keys with a dual (f,2f+1)-threshold (where f is
    the number of faulty parties). As a result, using our ADKG we remove the trusted
    setup assumption that the most scalable consensus algorithms make. In order to
    create a DKG with a dual (f,2f+1)- threshold we first answer in the affirmative
    the open question posed by Cachin et al. [7] on how to create an Asynchronous
    Verifiable Secret Sharing (AVSS) protocol with a reconstruction threshold of f+1<k
    łe 2f+1, which is of independent interest. Our High-threshold-AVSS (HAVSS) uses
    an asymmetric bivariate polynomial to encode the secret. This enables the reconstruction
    of the secret only if a set of k nodes contribute while allowing an honest node
    that did not participate in the sharing phase to recover his share with the help
    of f+1 honest parties. Once we have HAVSS we can use it to bootstrap scalable
    partially synchronous consensus protocols, but the question on how to get a DKG
    in asynchrony remains as we need a way to produce common randomness. The solution
    comes from a novel Eventually Perfect Common Coin (EPCC) abstraction that enables
    the generation of a common coin from n concurrent HAVSS invocations. EPCC's key
    property is that it is eventually reliable, as it might fail to agree at most
    f times (even if invoked a polynomial number of times). Using EPCC we implement
    an Eventually Efficient Asynchronous Binary Agreement (EEABA) which is optimal
    when the EPCC agrees and protects safety when EPCC fails. Finally, using EEABA
    we construct the first ADKG which has the same overhead and expected runtime as
    the best partially-synchronous DKG (O(n4) words, O(f) rounds). As a corollary
    of our ADKG, we can also create the first Validated Asynchronous Byzantine Agreement
    (VABA) that does not need a trusted dealer to setup threshold signatures of degree
    n-f. Our VABA has an overhead of expected O(n2) words and O(1) time per instance,
    after an initial O(n4) words and O(f) time bootstrap via ADKG.
acknowledgement: We would like to thank Ittai Abraham for the discussions and guidance
  during the initial conception of the project, especially for HAVSS. Furthermore,
  we would like to thank the anonymous reviewers for pointing out the relevance of
  this work to MPC protocols.
article_processing_charge: No
author:
- first_name: Eleftherios
  full_name: Kokoris Kogias, Eleftherios
  id: f5983044-d7ef-11ea-ac6d-fd1430a26d30
  last_name: Kokoris Kogias
- first_name: Dahlia
  full_name: Malkhi, Dahlia
  last_name: Malkhi
- first_name: Alexander
  full_name: Spiegelman, Alexander
  last_name: Spiegelman
citation:
  ama: 'Kokoris Kogias E, Malkhi D, Spiegelman A. Asynchronous distributed key generation
    for computationally-secure randomness, consensus, and threshold signatures. In:
    <i>Proceedings of the 2020 ACM SIGSAC Conference on Computer and Communications
    Security</i>. Association for Computing Machinery; 2020:1751–1767. doi:<a href="https://doi.org/10.1145/3372297.3423364">10.1145/3372297.3423364</a>'
  apa: 'Kokoris Kogias, E., Malkhi, D., &#38; Spiegelman, A. (2020). Asynchronous
    distributed key generation for computationally-secure randomness, consensus, and
    threshold signatures. In <i>Proceedings of the 2020 ACM SIGSAC Conference on Computer
    and Communications Security</i> (pp. 1751–1767). Virtual, United States: Association
    for Computing Machinery. <a href="https://doi.org/10.1145/3372297.3423364">https://doi.org/10.1145/3372297.3423364</a>'
  chicago: Kokoris Kogias, Eleftherios, Dahlia Malkhi, and Alexander Spiegelman. “Asynchronous
    Distributed Key Generation for Computationally-Secure Randomness, Consensus, and
    Threshold Signatures.” In <i>Proceedings of the 2020 ACM SIGSAC Conference on
    Computer and Communications Security</i>, 1751–1767. Association for Computing
    Machinery, 2020. <a href="https://doi.org/10.1145/3372297.3423364">https://doi.org/10.1145/3372297.3423364</a>.
  ieee: E. Kokoris Kogias, D. Malkhi, and A. Spiegelman, “Asynchronous distributed
    key generation for computationally-secure randomness, consensus, and threshold
    signatures,” in <i>Proceedings of the 2020 ACM SIGSAC Conference on Computer and
    Communications Security</i>, Virtual, United States, 2020, pp. 1751–1767.
  ista: 'Kokoris Kogias E, Malkhi D, Spiegelman A. 2020. Asynchronous distributed
    key generation for computationally-secure randomness, consensus, and threshold
    signatures. Proceedings of the 2020 ACM SIGSAC Conference on Computer and Communications
    Security. CCS: Computer and Communications Security, 1751–1767.'
  mla: Kokoris Kogias, Eleftherios, et al. “Asynchronous Distributed Key Generation
    for Computationally-Secure Randomness, Consensus, and Threshold Signatures.” <i>Proceedings
    of the 2020 ACM SIGSAC Conference on Computer and Communications Security</i>,
    Association for Computing Machinery, 2020, pp. 1751–1767, doi:<a href="https://doi.org/10.1145/3372297.3423364">10.1145/3372297.3423364</a>.
  short: E. Kokoris Kogias, D. Malkhi, A. Spiegelman, in:, Proceedings of the 2020
    ACM SIGSAC Conference on Computer and Communications Security, Association for
    Computing Machinery, 2020, pp. 1751–1767.
conference:
  end_date: 2020-11-13
  location: Virtual, United States
  name: 'CCS: Computer and Communications Security'
  start_date: 2020-11-09
date_created: 2021-12-16T13:23:27Z
date_published: 2020-10-30T00:00:00Z
date_updated: 2024-02-22T13:10:45Z
day: '30'
department:
- _id: ElKo
doi: 10.1145/3372297.3423364
external_id:
  isi:
  - '000768470400104'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2019/1015
month: '10'
oa: 1
oa_version: Preprint
page: 1751–1767
publication: Proceedings of the 2020 ACM SIGSAC Conference on Computer and Communications
  Security
publication_identifier:
  isbn:
  - 978-1-4503-7089-9
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Asynchronous distributed key generation for computationally-secure randomness,
  consensus, and threshold signatures
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '10557'
abstract:
- lang: eng
  text: Data storage and retrieval systems, methods, and computer-readable media utilize
    a cryptographically verifiable data structure that facilitates verification of
    a transaction in a decentralized peer-to-peer environment using multi-hop backwards
    and forwards links. Backward links are cryptographic hashes of past records. Forward
    links are cryptographic signatures of future records that are added retroactively
    to records once the target block has been appended to the data structure.
applicant:
- Ecole Polytechnique Federale de Lausanne
application_date: 2017-06-09
article_processing_charge: No
author:
- first_name: Bryan
  full_name: Ford, Bryan
  last_name: Ford
- first_name: Linus
  full_name: Gasse, Linus
  last_name: Gasse
- first_name: Eleftherios
  full_name: Kokoris Kogias, Eleftherios
  id: f5983044-d7ef-11ea-ac6d-fd1430a26d30
  last_name: Kokoris Kogias
- first_name: Philipp
  full_name: Jovanovic, Philipp
  last_name: Jovanovic
citation:
  ama: Ford B, Gasse L, Kokoris Kogias E, Jovanovic P. Cryptographically verifiable
    data structure having multi-hop forward and backwards links and associated systems
    and methods. 2020.
  apa: Ford, B., Gasse, L., Kokoris Kogias, E., &#38; Jovanovic, P. (2020). Cryptographically
    verifiable data structure having multi-hop forward and backwards links and associated
    systems and methods.
  chicago: Ford, Bryan, Linus Gasse, Eleftherios Kokoris Kogias, and Philipp Jovanovic.
    “Cryptographically Verifiable Data Structure Having Multi-Hop Forward and Backwards
    Links and Associated Systems and Methods,” 2020.
  ieee: B. Ford, L. Gasse, E. Kokoris Kogias, and P. Jovanovic, “Cryptographically
    verifiable data structure having multi-hop forward and backwards links and associated
    systems and methods.” 2020.
  ista: Ford B, Gasse L, Kokoris Kogias E, Jovanovic P. 2020. Cryptographically verifiable
    data structure having multi-hop forward and backwards links and associated systems
    and methods.
  mla: Ford, Bryan, et al. <i>Cryptographically Verifiable Data Structure Having Multi-Hop
    Forward and Backwards Links and Associated Systems and Methods</i>. 2020.
  short: B. Ford, L. Gasse, E. Kokoris Kogias, P. Jovanovic, (2020).
date_created: 2021-12-16T13:28:59Z
date_published: 2020-03-03T00:00:00Z
date_updated: 2021-12-21T10:04:50Z
day: '03'
department:
- _id: ElKo
extern: '1'
ipc: ' H04L9/3247 ; G06Q20/29 ; G06Q20/382 ; H04L9/3236'
ipn: '10581613'
main_file_link:
- open_access: '1'
  url: https://patents.google.com/patent/US10581613B2/en
month: '03'
oa: 1
oa_version: Published Version
publication_date: 2020-03-03
related_material:
  link:
  - relation: earlier_version
    url: https://patents.google.com/patent/US20180359096A1/en
status: public
title: Cryptographically verifiable data structure having multi-hop forward and backwards
  links and associated systems and methods
type: patent
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2020'
...
---
_id: '10618'
abstract:
- lang: eng
  text: Magnetism typically arises from the joint effect of Fermi statistics and repulsive
    Coulomb interactions, which favours ground states with non-zero electron spin.
    As a result, controlling spin magnetism with electric fields—a longstanding technological
    goal in spintronics and multiferroics1,2—can be achieved only indirectly. Here
    we experimentally demonstrate direct electric-field control of magnetic states
    in an orbital Chern insulator3,4,5,6, a magnetic system in which non-trivial band
    topology favours long-range order of orbital angular momentum but the spins are
    thought to remain disordered7,8,9,10,11,12,13,14. We use van der Waals heterostructures
    consisting of a graphene monolayer rotationally faulted with respect to a Bernal-stacked
    bilayer to realize narrow and topologically non-trivial valley-projected moiré
    minibands15,16,17. At fillings of one and three electrons per moiré unit cell
    within these bands, we observe quantized anomalous Hall effects18 with transverse
    resistance approximately equal to h/2e2 (where h is Planck’s constant and e is
    the charge on the electron), which is indicative of spontaneous polarization of
    the system into a single-valley-projected band with a Chern number equal to two.
    At a filling of three electrons per moiré unit cell, we find that the sign of
    the quantum anomalous Hall effect can be reversed via field-effect control of
    the chemical potential; moreover, this transition is hysteretic, which we use
    to demonstrate non-volatile electric-field-induced reversal of the magnetic state.
    A theoretical analysis19 indicates that the effect arises from the topological
    edge states, which drive a change in sign of the magnetization and thus a reversal
    in the favoured magnetic state. Voltage control of magnetic states can be used
    to electrically pattern non-volatile magnetic-domain structures hosting chiral
    edge states, with applications ranging from reconfigurable microwave circuit elements
    to ultralow-power magnetic memories.
acknowledgement: We acknowledge discussions with J. Checkelsky, S. Chen, C. Dean,
  M. Yankowitz, D. Reilly, I. Sodemann and M. Zaletel. Work at UCSB was primarily
  supported by the ARO under MURI W911NF-16-1-0361. Measurements of twisted bilayer
  graphene (Extended Data Fig. 8) and measurements at elevated temperatures (Extended
  Data Fig. 3) were supported by a SEED grant and made use of shared facilities of
  the UCSB MRSEC (NSF DMR 1720256), a member of the Materials Research Facilities
  Network (www.mrfn.org). A.F.Y. acknowledges the support of the David and Lucille
  Packard Foundation under award 2016-65145. A.H.M. and J.Z. were supported by the
  National Science Foundation through the Center for Dynamics and Control of Materials,
  an NSF MRSEC under Cooperative Agreement number DMR-1720595, and by the Welch Foundation
  under grant TBF1473. C.L.T. acknowledges support from the Hertz Foundation and from
  the National Science Foundation Graduate Research Fellowship Program under grant
  1650114. K.W. and T.T. acknowledge support from the Elemental Strategy Initiative
  conducted by the MEXT, Japan, Grant Number JPMXP0112101001, JSPS KAKENHI grant numbers
  JP20H00354 and the CREST(JPMJCR15F3), JST.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Hryhoriy
  full_name: Polshyn, Hryhoriy
  id: edfc7cb1-526e-11ec-b05a-e6ecc27e4e48
  last_name: Polshyn
  orcid: 0000-0001-8223-8896
- first_name: J.
  full_name: Zhu, J.
  last_name: Zhu
- first_name: M. A.
  full_name: Kumar, M. A.
  last_name: Kumar
- first_name: Y.
  full_name: Zhang, Y.
  last_name: Zhang
- first_name: F.
  full_name: Yang, F.
  last_name: Yang
- first_name: C. L.
  full_name: Tschirhart, C. L.
  last_name: Tschirhart
- first_name: M.
  full_name: Serlin, M.
  last_name: Serlin
- first_name: K.
  full_name: Watanabe, K.
  last_name: Watanabe
- first_name: T.
  full_name: Taniguchi, T.
  last_name: Taniguchi
- first_name: A. H.
  full_name: MacDonald, A. H.
  last_name: MacDonald
- first_name: A. F.
  full_name: Young, A. F.
  last_name: Young
citation:
  ama: Polshyn H, Zhu J, Kumar MA, et al. Electrical switching of magnetic order in
    an orbital Chern insulator. <i>Nature</i>. 2020;588(7836):66-70. doi:<a href="https://doi.org/10.1038/s41586-020-2963-8">10.1038/s41586-020-2963-8</a>
  apa: Polshyn, H., Zhu, J., Kumar, M. A., Zhang, Y., Yang, F., Tschirhart, C. L.,
    … Young, A. F. (2020). Electrical switching of magnetic order in an orbital Chern
    insulator. <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/s41586-020-2963-8">https://doi.org/10.1038/s41586-020-2963-8</a>
  chicago: Polshyn, Hryhoriy, J. Zhu, M. A. Kumar, Y. Zhang, F. Yang, C. L. Tschirhart,
    M. Serlin, et al. “Electrical Switching of Magnetic Order in an Orbital Chern
    Insulator.” <i>Nature</i>. Springer Nature, 2020. <a href="https://doi.org/10.1038/s41586-020-2963-8">https://doi.org/10.1038/s41586-020-2963-8</a>.
  ieee: H. Polshyn <i>et al.</i>, “Electrical switching of magnetic order in an orbital
    Chern insulator,” <i>Nature</i>, vol. 588, no. 7836. Springer Nature, pp. 66–70,
    2020.
  ista: Polshyn H, Zhu J, Kumar MA, Zhang Y, Yang F, Tschirhart CL, Serlin M, Watanabe
    K, Taniguchi T, MacDonald AH, Young AF. 2020. Electrical switching of magnetic
    order in an orbital Chern insulator. Nature. 588(7836), 66–70.
  mla: Polshyn, Hryhoriy, et al. “Electrical Switching of Magnetic Order in an Orbital
    Chern Insulator.” <i>Nature</i>, vol. 588, no. 7836, Springer Nature, 2020, pp.
    66–70, doi:<a href="https://doi.org/10.1038/s41586-020-2963-8">10.1038/s41586-020-2963-8</a>.
  short: H. Polshyn, J. Zhu, M.A. Kumar, Y. Zhang, F. Yang, C.L. Tschirhart, M. Serlin,
    K. Watanabe, T. Taniguchi, A.H. MacDonald, A.F. Young, Nature 588 (2020) 66–70.
date_created: 2022-01-13T14:12:17Z
date_published: 2020-11-23T00:00:00Z
date_updated: 2022-01-13T14:21:04Z
day: '23'
doi: 10.1038/s41586-020-2963-8
extern: '1'
external_id:
  arxiv:
  - '2004.11353'
  pmid:
  - '33230333'
intvolume: '       588'
issue: '7836'
keyword:
- multidisciplinary
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2004.11353
month: '11'
oa: 1
oa_version: Preprint
page: 66-70
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Electrical switching of magnetic order in an orbital Chern insulator
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 588
year: '2020'
...
---
_id: '10650'
abstract:
- lang: eng
  text: The understanding of material systems with strong electron-electron interactions
    is the central problem in modern condensed matter physics. Despite this, the essential
    physics of many of these materials is still not understood and we have no overall
    perspective on their properties. Moreover, we have very little ability to make
    predictions in this class of systems. In this manuscript we share our personal
    views of what the major open problems are in correlated electron systems and we
    discuss some possible routes to make progress in this rich and fascinating field.
    This manuscript is the result of the vigorous discussions and deliberations that
    took place at Johns Hopkins University during a three-day workshop January 27,
    28, and 29, 2020 that brought together six senior scientists and 46 more junior
    scientists. Our hope, is that the topics we have presented will provide inspiration
    for others working in this field and motivation for the idea that significant
    progress can be made on very hard problems if we focus our collective energies.
acknowledgement: "We thank NSF CMP program for suggestions regarding the topic and
  general structure of the workshop. This project was supported by the NSF DMR-2002329
  and The Gordon and Betty Moore Foundation (GBMF) EPiQS initiative. We would like
  to sincerely thank A. Kapitulnik, A. J. Leggett, M.B. Maple, T.M. McQueen, M. Norman,
  P. S. Riseborough, and G. A. Sawatzky for their lectures at the workshop and advice
  on the writing of this manuscript. We would also like to thank G. Blumberg, C. Broholm,
  S. Crooker, N. Drichko, and A. Patel for helpful consultation on topics discussed\r\nherein.
  A number of individuals also had independent support: (AA, EH; GBMF-4305), (IMH;
  GBMF-9071), (HJC; NHMFL is supported by the NSF DMR-1644779 and the state of Florida),
  (YH, AZ; Miller Institute for Basic Research in Science), (YC; US DOE-BES DEAC02-06CH11357),
  (AS; Spallation Neutron Source, a DOE Office of Science User Facility operated by
  ORNL), (SAAG; ARO-W911NF-18-1-0290, NSF DMR-1455233), (YW; DOE-BES DE-SC0019331,
  GBMF-4532)."
article_processing_charge: No
arxiv: 1
author:
- first_name: A
  full_name: Alexandradinata, A
  last_name: Alexandradinata
- first_name: N.P.
  full_name: Armitage, N.P.
  last_name: Armitage
- first_name: Andrey
  full_name: Baydin, Andrey
  last_name: Baydin
- first_name: Wenli
  full_name: Bi, Wenli
  last_name: Bi
- first_name: Yue
  full_name: Cao, Yue
  last_name: Cao
- first_name: Hitesh J.
  full_name: Changlani, Hitesh J.
  last_name: Changlani
- first_name: Eli
  full_name: Chertkov, Eli
  last_name: Chertkov
- first_name: Eduardo H.
  full_name: da Silva Neto, Eduardo H.
  last_name: da Silva Neto
- first_name: Luca
  full_name: Delacretaz, Luca
  last_name: Delacretaz
- first_name: Ismail
  full_name: El Baggari, Ismail
  last_name: El Baggari
- first_name: G.M.
  full_name: Ferguson, G.M.
  last_name: Ferguson
- first_name: William J.
  full_name: Gannon, William J.
  last_name: Gannon
- first_name: Sayed Ali Akbar
  full_name: Ghorashi, Sayed Ali Akbar
  last_name: Ghorashi
- first_name: Berit H.
  full_name: Goodge, Berit H.
  last_name: Goodge
- first_name: Olga
  full_name: Goulko, Olga
  last_name: Goulko
- first_name: G.
  full_name: Grissonnache, G.
  last_name: Grissonnache
- first_name: Alannah
  full_name: Hallas, Alannah
  last_name: Hallas
- first_name: Ian M.
  full_name: Hayes, Ian M.
  last_name: Hayes
- first_name: Yu
  full_name: He, Yu
  last_name: He
- first_name: Edwin W.
  full_name: Huang, Edwin W.
  last_name: Huang
- first_name: Anshu
  full_name: Kogar, Anshu
  last_name: Kogar
- first_name: Divine
  full_name: Kumah, Divine
  last_name: Kumah
- first_name: Jong Yeon
  full_name: Lee, Jong Yeon
  last_name: Lee
- first_name: A.
  full_name: Legros, A.
  last_name: Legros
- first_name: Fahad
  full_name: Mahmood, Fahad
  last_name: Mahmood
- first_name: Yulia
  full_name: Maximenko, Yulia
  last_name: Maximenko
- first_name: Nick
  full_name: Pellatz, Nick
  last_name: Pellatz
- first_name: Hryhoriy
  full_name: Polshyn, Hryhoriy
  id: edfc7cb1-526e-11ec-b05a-e6ecc27e4e48
  last_name: Polshyn
  orcid: 0000-0001-8223-8896
- first_name: Tarapada
  full_name: Sarkar, Tarapada
  last_name: Sarkar
- first_name: Allen
  full_name: Scheie, Allen
  last_name: Scheie
- first_name: Kyle L.
  full_name: Seyler, Kyle L.
  last_name: Seyler
- first_name: Zhenzhong
  full_name: Shi, Zhenzhong
  last_name: Shi
- first_name: Brian
  full_name: Skinner, Brian
  last_name: Skinner
- first_name: Lucia
  full_name: Steinke, Lucia
  last_name: Steinke
- first_name: K.
  full_name: Thirunavukkuarasu, K.
  last_name: Thirunavukkuarasu
- first_name: Thaís Victa
  full_name: Trevisan, Thaís Victa
  last_name: Trevisan
- first_name: Michael
  full_name: Vogl, Michael
  last_name: Vogl
- first_name: Pavel A.
  full_name: Volkov, Pavel A.
  last_name: Volkov
- first_name: Yao
  full_name: Wang, Yao
  last_name: Wang
- first_name: Yishu
  full_name: Wang, Yishu
  last_name: Wang
- first_name: Di
  full_name: Wei, Di
  last_name: Wei
- first_name: Kaya
  full_name: Wei, Kaya
  last_name: Wei
- first_name: Shuolong
  full_name: Yang, Shuolong
  last_name: Yang
- first_name: Xian
  full_name: Zhang, Xian
  last_name: Zhang
- first_name: Ya-Hui
  full_name: Zhang, Ya-Hui
  last_name: Zhang
- first_name: Liuyan
  full_name: Zhao, Liuyan
  last_name: Zhao
- first_name: Alfred
  full_name: Zong, Alfred
  last_name: Zong
citation:
  ama: Alexandradinata A, Armitage NP, Baydin A, et al. The future of the correlated
    electron problem. <i>arXiv</i>.
  apa: Alexandradinata, A., Armitage, N. P., Baydin, A., Bi, W., Cao, Y., Changlani,
    H. J., … Zong, A. (n.d.). The future of the correlated electron problem. <i>arXiv</i>.
  chicago: Alexandradinata, A, N.P. Armitage, Andrey Baydin, Wenli Bi, Yue Cao, Hitesh
    J. Changlani, Eli Chertkov, et al. “The Future of the Correlated Electron Problem.”
    <i>ArXiv</i>, n.d.
  ieee: A. Alexandradinata <i>et al.</i>, “The future of the correlated electron problem,”
    <i>arXiv</i>. .
  ista: Alexandradinata A, Armitage NP, Baydin A, Bi W, Cao Y, Changlani HJ, Chertkov
    E, da Silva Neto EH, Delacretaz L, El Baggari I, Ferguson GM, Gannon WJ, Ghorashi
    SAA, Goodge BH, Goulko O, Grissonnache G, Hallas A, Hayes IM, He Y, Huang EW,
    Kogar A, Kumah D, Lee JY, Legros A, Mahmood F, Maximenko Y, Pellatz N, Polshyn
    H, Sarkar T, Scheie A, Seyler KL, Shi Z, Skinner B, Steinke L, Thirunavukkuarasu
    K, Trevisan TV, Vogl M, Volkov PA, Wang Y, Wang Y, Wei D, Wei K, Yang S, Zhang
    X, Zhang Y-H, Zhao L, Zong A. The future of the correlated electron problem. arXiv,
    .
  mla: Alexandradinata, A., et al. “The Future of the Correlated Electron Problem.”
    <i>ArXiv</i>.
  short: A. Alexandradinata, N.P. Armitage, A. Baydin, W. Bi, Y. Cao, H.J. Changlani,
    E. Chertkov, E.H. da Silva Neto, L. Delacretaz, I. El Baggari, G.M. Ferguson,
    W.J. Gannon, S.A.A. Ghorashi, B.H. Goodge, O. Goulko, G. Grissonnache, A. Hallas,
    I.M. Hayes, Y. He, E.W. Huang, A. Kogar, D. Kumah, J.Y. Lee, A. Legros, F. Mahmood,
    Y. Maximenko, N. Pellatz, H. Polshyn, T. Sarkar, A. Scheie, K.L. Seyler, Z. Shi,
    B. Skinner, L. Steinke, K. Thirunavukkuarasu, T.V. Trevisan, M. Vogl, P.A. Volkov,
    Y. Wang, Y. Wang, D. Wei, K. Wei, S. Yang, X. Zhang, Y.-H. Zhang, L. Zhao, A.
    Zong, ArXiv (n.d.).
date_created: 2022-01-20T10:55:36Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2022-01-24T08:05:51Z
day: '01'
extern: '1'
external_id:
  arxiv:
  - '2010.00584'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2010.00584
month: '10'
oa: 1
oa_version: Preprint
page: '55'
publication: arXiv
publication_status: submitted
status: public
title: The future of the correlated electron problem
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2020'
...
---
_id: '11816'
abstract:
- lang: eng
  text: In recent years, significant advances have been made in the design and analysis
    of fully dynamic maximal matching algorithms. However, these theoretical results
    have received very little attention from the practical perspective. Few of the
    algorithms are implemented and tested on real datasets, and their practical potential
    is far from understood. In this paper, we attempt to bridge the gap between theory
    and practice that is currently observed for the fully dynamic maximal matching
    problem. We engineer several algorithms and empirically study those algorithms
    on an extensive set of dynamic instances.
alternative_title:
- LIPIcs
article_number: '58'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Khan
  full_name: Shahbaz, Khan
  last_name: Shahbaz
- first_name: Richard
  full_name: Paul, Richard
  last_name: Paul
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
citation:
  ama: 'Henzinger MH, Shahbaz K, Paul R, Schulz C. Dynamic matching algorithms in
    practice. In: <i>8th Annual European Symposium on Algorithms</i>. Vol 173. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.58">10.4230/LIPIcs.ESA.2020.58</a>'
  apa: 'Henzinger, M. H., Shahbaz, K., Paul, R., &#38; Schulz, C. (2020). Dynamic
    matching algorithms in practice. In <i>8th Annual European Symposium on Algorithms</i>
    (Vol. 173). Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a
    href="https://doi.org/10.4230/LIPIcs.ESA.2020.58">https://doi.org/10.4230/LIPIcs.ESA.2020.58</a>'
  chicago: Henzinger, Monika H, Khan Shahbaz, Richard Paul, and Christian Schulz.
    “Dynamic Matching Algorithms in Practice.” In <i>8th Annual European Symposium
    on Algorithms</i>, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2020. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.58">https://doi.org/10.4230/LIPIcs.ESA.2020.58</a>.
  ieee: M. H. Henzinger, K. Shahbaz, R. Paul, and C. Schulz, “Dynamic matching algorithms
    in practice,” in <i>8th Annual European Symposium on Algorithms</i>, Pisa, Italy,
    2020, vol. 173.
  ista: 'Henzinger MH, Shahbaz K, Paul R, Schulz C. 2020. Dynamic matching algorithms
    in practice. 8th Annual European Symposium on Algorithms. ESA: Annual European
    Symposium on Algorithms, LIPIcs, vol. 173, 58.'
  mla: Henzinger, Monika H., et al. “Dynamic Matching Algorithms in Practice.” <i>8th
    Annual European Symposium on Algorithms</i>, vol. 173, 58, Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.58">10.4230/LIPIcs.ESA.2020.58</a>.
  short: M.H. Henzinger, K. Shahbaz, R. Paul, C. Schulz, in:, 8th Annual European
    Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-09-09
  location: Pisa, Italy
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2020-09-07
date_created: 2022-08-12T07:13:25Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-02-14T08:57:55Z
day: '26'
doi: 10.4230/LIPIcs.ESA.2020.58
extern: '1'
external_id:
  arxiv:
  - '2004.09099'
intvolume: '       173'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.ESA.2020.58
month: '08'
oa: 1
oa_version: Published Version
publication: 8th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - '9783959771627'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic matching algorithms in practice
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 173
year: '2020'
...
---
_id: '11818'
abstract:
- lang: eng
  text: "With input sizes becoming massive, coresets - small yet representative summary
    of the input - are relevant more than ever. A weighted set C_w that is a subset
    of the input is an ε-coreset if the cost of any feasible solution S with respect
    to C_w is within [1±ε] of the cost of S with respect to the original input. We
    give a very general technique to compute coresets in the fully-dynamic setting
    where input points can be added or deleted. Given a static (i.e., not dynamic)
    ε-coreset-construction algorithm that runs in time t(n, ε, λ) and computes a coreset
    of size s(n, ε, λ), where n is the number of input points and 1-λ is the success
    probability, we give a fully-dynamic algorithm that computes an ε-coreset with
    worst-case update time O((log n) ⋅ t(s(n, ε/log n, λ/n), ε/log n, λ/n)) (this
    bound is stated informally), where the success probability is 1-λ. Our technique
    is a fully-dynamic analog of the merge-and-reduce technique, which is due to Har-Peled
    and Mazumdar [Har-Peled and Mazumdar, 2004] and is based on a technique of Bentley
    and Saxe [Jon Louis Bentley and James B. Saxe, 1980], that applies to the insertion-only
    setting where points can only be added. Although, our space usage is O(n), our
    technique works in the presence of an adaptive adversary, and we show that Ω(n)
    space is required when adversary is adaptive.\r\nAs a concrete implication of
    our technique, using the result of Braverman et al. [{Braverman} et al., 2016],
    we get fully-dynamic ε-coreset-construction algorithms for k-median and k-means
    with worst-case update time O(ε^{-2} k² log⁵ n log³ k) and coreset size O(ε^{-2}
    k log n log² k) ignoring log log n and log(1/ε) factors and assuming that ε =
    Ω(1/poly(n)) and λ = Ω(1/poly(n)) (which are very weak assumptions made only to
    make these bounds easy to parse). This results in the first fully-dynamic constant-approximation
    algorithms for k-median and k-means with update times O(poly(k, log n, ε^{-1})).
    Specifically, the dependence on k is only quadratic, and the bounds are worst-case.
    The best previous bound for both problems was amortized O(nlog n) by Cohen-Addad
    et al. [Cohen-Addad et al., 2019] via randomized O(1)-coresets in O(n) space.\r\nWe
    also show that under the OMv conjecture [Monika Henzinger et al., 2015], a fully-dynamic
    (4 - δ)-approximation algorithm for k-means must either have an amortized update
    time of Ω(k^{1-γ}) or amortized query time of Ω(k^{2 - γ}), where γ > 0 is a constant."
alternative_title:
- LIPIcs
article_number: '57'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Sagar
  full_name: Kale, Sagar
  last_name: Kale
citation:
  ama: 'Henzinger MH, Kale S. Fully-dynamic coresets. In: <i>28th Annual European
    Symposium on Algorithms</i>. Vol 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2020. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.57">10.4230/LIPIcs.ESA.2020.57</a>'
  apa: 'Henzinger, M. H., &#38; Kale, S. (2020). Fully-dynamic coresets. In <i>28th
    Annual European Symposium on Algorithms</i> (Vol. 173). Pisa, Italy: Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.57">https://doi.org/10.4230/LIPIcs.ESA.2020.57</a>'
  chicago: Henzinger, Monika H, and Sagar Kale. “Fully-Dynamic Coresets.” In <i>28th
    Annual European Symposium on Algorithms</i>, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.57">https://doi.org/10.4230/LIPIcs.ESA.2020.57</a>.
  ieee: M. H. Henzinger and S. Kale, “Fully-dynamic coresets,” in <i>28th Annual European
    Symposium on Algorithms</i>, Pisa, Italy, 2020, vol. 173.
  ista: 'Henzinger MH, Kale S. 2020. Fully-dynamic coresets. 28th Annual European
    Symposium on Algorithms. ESA: Annual European Symposium on Algorithms, LIPIcs,
    vol. 173, 57.'
  mla: Henzinger, Monika H., and Sagar Kale. “Fully-Dynamic Coresets.” <i>28th Annual
    European Symposium on Algorithms</i>, vol. 173, 57, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.57">10.4230/LIPIcs.ESA.2020.57</a>.
  short: M.H. Henzinger, S. Kale, in:, 28th Annual European Symposium on Algorithms,
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-09-09
  location: Pisa, Italy
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2020-09-07
date_created: 2022-08-12T07:22:55Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-02-14T09:29:51Z
day: '26'
doi: 10.4230/LIPIcs.ESA.2020.57
extern: '1'
external_id:
  arxiv:
  - '2004.14891'
intvolume: '       173'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.ESA.2020.57
month: '08'
oa: 1
oa_version: Published Version
publication: 28th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - '9783959771627'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fully-dynamic coresets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 173
year: '2020'
...
---
_id: '11819'
abstract:
- lang: eng
  text: We present a practically efficient algorithm that finds all global minimum
    cuts in huge undirected graphs. Our algorithm uses a multitude of kernelization
    rules to reduce the graph to a small equivalent instance and then finds all minimum
    cuts using an optimized version of the algorithm of Nagamochi, Nakao and Ibaraki.
    In shared memory we are able to find all minimum cuts of graphs with up to billions
    of edges and millions of minimum cuts in a few minutes. We also give a new linear
    time algorithm to find the most balanced minimum cuts given as input the representation
    of all minimum cuts.
alternative_title:
- LIPIcs
article_number: '59'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Noe, Alexander
  last_name: Noe
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
- first_name: Darren
  full_name: Strash, Darren
  last_name: Strash
citation:
  ama: 'Henzinger MH, Noe A, Schulz C, Strash D. Finding all global minimum cuts in
    practice. In: <i>28th Annual European Symposium on Algorithms</i>. Vol 173. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.59">10.4230/LIPIcs.ESA.2020.59</a>'
  apa: 'Henzinger, M. H., Noe, A., Schulz, C., &#38; Strash, D. (2020). Finding all
    global minimum cuts in practice. In <i>28th Annual European Symposium on Algorithms</i>
    (Vol. 173). Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a
    href="https://doi.org/10.4230/LIPIcs.ESA.2020.59">https://doi.org/10.4230/LIPIcs.ESA.2020.59</a>'
  chicago: Henzinger, Monika H, Alexander Noe, Christian Schulz, and Darren Strash.
    “Finding All Global Minimum Cuts in Practice.” In <i>28th Annual European Symposium
    on Algorithms</i>, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2020. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.59">https://doi.org/10.4230/LIPIcs.ESA.2020.59</a>.
  ieee: M. H. Henzinger, A. Noe, C. Schulz, and D. Strash, “Finding all global minimum
    cuts in practice,” in <i>28th Annual European Symposium on Algorithms</i>, Pisa,
    Italy, 2020, vol. 173.
  ista: 'Henzinger MH, Noe A, Schulz C, Strash D. 2020. Finding all global minimum
    cuts in practice. 28th Annual European Symposium on Algorithms. ESA: Annual European
    Symposium on Algorithms, LIPIcs, vol. 173, 59.'
  mla: Henzinger, Monika H., et al. “Finding All Global Minimum Cuts in Practice.”
    <i>28th Annual European Symposium on Algorithms</i>, vol. 173, 59, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.59">10.4230/LIPIcs.ESA.2020.59</a>.
  short: M.H. Henzinger, A. Noe, C. Schulz, D. Strash, in:, 28th Annual European Symposium
    on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-09-09
  location: Pisa, Italy
  name: 'ESA: Annual European Symposium on Algorithms'
  start_date: 2020-09-07
date_created: 2022-08-12T07:27:42Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-02-14T09:39:18Z
day: '26'
doi: 10.4230/LIPIcs.ESA.2020.59
extern: '1'
external_id:
  arxiv:
  - '2002.06948'
intvolume: '       173'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.ESA.2020.59
month: '08'
oa: 1
oa_version: Published Version
publication: 28th Annual European Symposium on Algorithms
publication_identifier:
  isbn:
  - '9783959771627'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finding all global minimum cuts in practice
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 173
year: '2020'
...
---
_id: '11822'
abstract:
- lang: eng
  text: "The fully dynamic transitive closure problem asks to maintain reachability
    information in a directed graph between arbitrary pairs of vertices, while the
    graph undergoes a sequence of edge insertions and deletions. The problem has been
    thoroughly investigated in theory and many specialized algorithms for solving
    it have been proposed in the last decades. In two large studies [Frigioni ea,
    2001; Krommidas and Zaroliagis, 2008], a number of these algorithms have been
    evaluated experimentally against simple, static algorithms for graph traversal,
    showing the competitiveness and even superiority of the simple algorithms in practice,
    except for very dense random graphs or very high ratios of queries. A major drawback
    of those studies is that only small and mostly randomly generated graphs are considered.\r\nIn
    this paper, we engineer new algorithms to maintain all-pairs reachability information
    which are simple and space-efficient. Moreover, we perform an extensive experimental
    evaluation on both generated and real-world instances that are several orders
    of magnitude larger than those in the previous studies. Our results indicate that
    our new algorithms outperform all state-of-the-art algorithms on all types of
    input considerably in practice."
alternative_title:
- LIPIcs
article_number: '14'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kathrin
  full_name: Hanauer, Kathrin
  last_name: Hanauer
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
citation:
  ama: 'Hanauer K, Henzinger MH, Schulz C. Faster fully dynamic transitive closure
    in practice. In: <i>18th International Symposium on Experimental Algorithms</i>.
    Vol 160. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.SEA.2020.14">10.4230/LIPIcs.SEA.2020.14</a>'
  apa: 'Hanauer, K., Henzinger, M. H., &#38; Schulz, C. (2020). Faster fully dynamic
    transitive closure in practice. In <i>18th International Symposium on Experimental
    Algorithms</i> (Vol. 160). Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik. <a href="https://doi.org/10.4230/LIPIcs.SEA.2020.14">https://doi.org/10.4230/LIPIcs.SEA.2020.14</a>'
  chicago: Hanauer, Kathrin, Monika H Henzinger, and Christian Schulz. “Faster Fully
    Dynamic Transitive Closure in Practice.” In <i>18th International Symposium on
    Experimental Algorithms</i>, Vol. 160. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.SEA.2020.14">https://doi.org/10.4230/LIPIcs.SEA.2020.14</a>.
  ieee: K. Hanauer, M. H. Henzinger, and C. Schulz, “Faster fully dynamic transitive
    closure in practice,” in <i>18th International Symposium on Experimental Algorithms</i>,
    Pisa, Italy, 2020, vol. 160.
  ista: 'Hanauer K, Henzinger MH, Schulz C. 2020. Faster fully dynamic transitive
    closure in practice. 18th International Symposium on Experimental Algorithms.
    SEA: Symposium on Experimental Algorithms, LIPIcs, vol. 160, 14.'
  mla: Hanauer, Kathrin, et al. “Faster Fully Dynamic Transitive Closure in Practice.”
    <i>18th International Symposium on Experimental Algorithms</i>, vol. 160, 14,
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.SEA.2020.14">10.4230/LIPIcs.SEA.2020.14</a>.
  short: K. Hanauer, M.H. Henzinger, C. Schulz, in:, 18th International Symposium
    on Experimental Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2020.
conference:
  end_date: 2020-09-09
  location: Pisa, Italy
  name: 'SEA: Symposium on Experimental Algorithms'
  start_date: 2020-09-07
date_created: 2022-08-12T07:32:53Z
date_published: 2020-06-12T00:00:00Z
date_updated: 2023-02-14T09:58:42Z
day: '12'
doi: 10.4230/LIPIcs.SEA.2020.14
extern: '1'
external_id:
  arxiv:
  - '2002.00813'
intvolume: '       160'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.SEA.2020.14
month: '06'
oa: 1
oa_version: Published Version
publication: 18th International Symposium on Experimental Algorithms
publication_identifier:
  isbn:
  - '9783959771481'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster fully dynamic transitive closure in practice
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 160
year: '2020'
...
---
_id: '11824'
abstract:
- lang: eng
  text: "Independent set is a fundamental problem in combinatorial optimization. While
    in general graphs the problem is essentially inapproximable, for many important
    graph classes there are approximation algorithms known in the offline setting.
    These graph classes include interval graphs and geometric intersection graphs,
    where vertices correspond to intervals/geometric objects and an edge indicates
    that the two corresponding objects intersect.\r\nWe present dynamic approximation
    algorithms for independent set of intervals, hypercubes and hyperrectangles in
    d dimensions. They work in the fully dynamic model where each update inserts or
    deletes a geometric object. All our algorithms are deterministic and have worst-case
    update times that are polylogarithmic for constant d and ε>0, assuming that the
    coordinates of all input objects are in [0, N]^d and each of their edges has length
    at least 1. We obtain the following results:\r\n- For weighted intervals, we maintain
    a (1+ε)-approximate solution.\r\n- For d-dimensional hypercubes we maintain a
    (1+ε)2^d-approximate solution in the unweighted case and a O(2^d)-approximate
    solution in the weighted case. Also, we show that for maintaining an unweighted
    (1+ε)-approximate solution one needs polynomial update time for d ≥ 2 if the ETH
    holds.\r\n- For weighted d-dimensional hyperrectangles we present a dynamic algorithm
    with approximation ratio (1+ε)log^{d-1}N."
alternative_title:
- LIPIcs
article_number: '51'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefan
  full_name: Neumann, Stefan
  last_name: Neumann
- first_name: Andreas
  full_name: Wiese, Andreas
  last_name: Wiese
citation:
  ama: 'Henzinger MH, Neumann S, Wiese A. Dynamic approximate maximum independent
    set of intervals, hypercubes and hyperrectangles. In: <i>36th International Symposium
    on Computational Geometry</i>. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2020.51">10.4230/LIPIcs.SoCG.2020.51</a>'
  apa: 'Henzinger, M. H., Neumann, S., &#38; Wiese, A. (2020). Dynamic approximate
    maximum independent set of intervals, hypercubes and hyperrectangles. In <i>36th
    International Symposium on Computational Geometry</i> (Vol. 164). Zurich, Switzerland:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2020.51">https://doi.org/10.4230/LIPIcs.SoCG.2020.51</a>'
  chicago: Henzinger, Monika H, Stefan Neumann, and Andreas Wiese. “Dynamic Approximate
    Maximum Independent Set of Intervals, Hypercubes and Hyperrectangles.” In <i>36th
    International Symposium on Computational Geometry</i>, Vol. 164. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2020.51">https://doi.org/10.4230/LIPIcs.SoCG.2020.51</a>.
  ieee: M. H. Henzinger, S. Neumann, and A. Wiese, “Dynamic approximate maximum independent
    set of intervals, hypercubes and hyperrectangles,” in <i>36th International Symposium
    on Computational Geometry</i>, Zurich, Switzerland, 2020, vol. 164.
  ista: 'Henzinger MH, Neumann S, Wiese A. 2020. Dynamic approximate maximum independent
    set of intervals, hypercubes and hyperrectangles. 36th International Symposium
    on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs,
    vol. 164, 51.'
  mla: Henzinger, Monika H., et al. “Dynamic Approximate Maximum Independent Set of
    Intervals, Hypercubes and Hyperrectangles.” <i>36th International Symposium on
    Computational Geometry</i>, vol. 164, 51, Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2020.51">10.4230/LIPIcs.SoCG.2020.51</a>.
  short: M.H. Henzinger, S. Neumann, A. Wiese, in:, 36th International Symposium on
    Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
  end_date: 2020-06-26
  location: Zurich, Switzerland
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2020-06-23
date_created: 2022-08-12T07:46:44Z
date_published: 2020-06-08T00:00:00Z
date_updated: 2023-02-14T10:00:58Z
day: '08'
doi: 10.4230/LIPIcs.SoCG.2020.51
extern: '1'
external_id:
  arxiv:
  - '2003.02605'
intvolume: '       164'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.SoCG.2020.51
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
  isbn:
  - '9783959771436'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic approximate maximum independent set of intervals, hypercubes and hyperrectangles
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '11825'
abstract:
- lang: eng
  text: We give a fully dynamic (Las-Vegas style) algorithm with constant expected
    amortized time per update that maintains a proper (Δ+1)-vertex coloring of a graph
    with maximum degree at most Δ. This improves upon the previous O(log Δ)-time algorithm
    by Bhattacharya et al. (SODA 2018). Our algorithm uses an approach based on assigning
    random ranks to vertices and does not need to maintain a hierarchical graph decomposition.
    We show that our result does not only have optimal running time, but is also optimal
    in the sense that already deciding whether a Δ-coloring exists in a dynamically
    changing graph with maximum degree at most Δ takes Ω(log n) time per operation.
alternative_title:
- LIPIcs
article_number: '53'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Pan
  full_name: Peng, Pan
  last_name: Peng
citation:
  ama: 'Henzinger MH, Peng P. Constant-time dynamic (Δ+1)-coloring. In: <i>37th International
    Symposium on Theoretical Aspects of Computer Science</i>. Vol 154. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.STACS.2020.53">10.4230/LIPIcs.STACS.2020.53</a>'
  apa: 'Henzinger, M. H., &#38; Peng, P. (2020). Constant-time dynamic (Δ+1)-coloring.
    In <i>37th International Symposium on Theoretical Aspects of Computer Science</i>
    (Vol. 154). Montpellier, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.STACS.2020.53">https://doi.org/10.4230/LIPIcs.STACS.2020.53</a>'
  chicago: Henzinger, Monika H, and Pan Peng. “Constant-Time Dynamic (Δ+1)-Coloring.”
    In <i>37th International Symposium on Theoretical Aspects of Computer Science</i>,
    Vol. 154. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.STACS.2020.53">https://doi.org/10.4230/LIPIcs.STACS.2020.53</a>.
  ieee: M. H. Henzinger and P. Peng, “Constant-time dynamic (Δ+1)-coloring,” in <i>37th
    International Symposium on Theoretical Aspects of Computer Science</i>, Montpellier,
    France, 2020, vol. 154.
  ista: 'Henzinger MH, Peng P. 2020. Constant-time dynamic (Δ+1)-coloring. 37th International
    Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical
    Aspects of Computer Science, LIPIcs, vol. 154, 53.'
  mla: Henzinger, Monika H., and Pan Peng. “Constant-Time Dynamic (Δ+1)-Coloring.”
    <i>37th International Symposium on Theoretical Aspects of Computer Science</i>,
    vol. 154, 53, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a
    href="https://doi.org/10.4230/LIPIcs.STACS.2020.53">10.4230/LIPIcs.STACS.2020.53</a>.
  short: M.H. Henzinger, P. Peng, in:, 37th International Symposium on Theoretical
    Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2020.
conference:
  end_date: 2020-03-13
  location: Montpellier, France
  name: 'STACS: Symposium on Theoretical Aspects of Computer Science'
  start_date: 2020-03-10
date_created: 2022-08-12T07:53:05Z
date_published: 2020-03-04T00:00:00Z
date_updated: 2023-02-14T10:03:43Z
day: '04'
doi: 10.4230/LIPIcs.STACS.2020.53
extern: '1'
external_id:
  arxiv:
  - '1907.04745'
intvolume: '       154'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.STACS.2020.53
month: '03'
oa: 1
oa_version: Published Version
publication: 37th International Symposium on Theoretical Aspects of Computer Science
publication_identifier:
  isbn:
  - '9783959771405'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Constant-time dynamic (Δ+1)-coloring
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 154
year: '2020'
...
---
_id: '11852'
abstract:
- lang: eng
  text: We present a general framework of designing efficient dynamic approximate
    algorithms for optimization problems on undirected graphs. In particular, we develop
    a technique that, given any problem that admits a certain notion of vertex sparsifiers,
    gives data structures that maintain approximate solutions in sub-linear update
    and query time. We illustrate the applicability of our paradigm to the following
    problems. (1)A fully-dynamic algorithm that approximates all-pair maximum-flows/minimum-cuts
    up to a nearly logarithmic factor in O~(n2/3) 11The O~(⋅) notation is used in
    this paper to hide poly-logarithmic factors. amortized time against an oblivious
    adversary, and O~(m3/4) time against an adaptive adversary. (2)An incremental
    data structure that maintains O(1) - approximate shortest path in no(1) time per
    operation, as well as fully dynamic approximate all-pair shortest path and transshipment
    in O~(n2/3+o(1)) amortized time per operation. (3)A fully-dynamic algorithm that
    approximates all-pair effective resistance up to an (1+ϵ) factor in O~(n2/3+o(1)ϵ−O(1))
    amortized update time per operation. The key tool behind result (1) is the dynamic
    maintenance of an algorithmic construction due to Madry [FOCS' 10], which partitions
    a graph into a collection of simpler graph structures (known as j-trees) and approximately
    captures the cut-flow and metric structure of the graph. The O(1)-approximation
    guarantee of (2) is by adapting the distance oracles by [Thorup-Zwick JACM '05].
    Result (3) is obtained by invoking the random-walk based spectral vertex sparsifier
    by [Durfee et al. STOC '19] in a hierarchical manner, while carefully keeping
    track of the recourse among levels in the hierarchy. See https://arxiv.org/pdf/2005.02368.pdf
    for the full version of this paper.
article_processing_charge: No
arxiv: 1
author:
- first_name: Li
  full_name: Chen, Li
  last_name: Chen
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Richard
  full_name: Peng, Richard
  last_name: Peng
- first_name: Thatchaphol
  full_name: Saranurak, Thatchaphol
  last_name: Saranurak
citation:
  ama: 'Chen L, Goranci G, Henzinger MH, Peng R, Saranurak T. Fast dynamic cuts, distances
    and effective resistances via vertex sparsifiers. In: <i>61st Annual Symposium
    on Foundations of Computer Science</i>. Institute of Electrical and Electronics
    Engineers; 2020:1135-1146. doi:<a href="https://doi.org/10.1109/focs46700.2020.00109">10.1109/focs46700.2020.00109</a>'
  apa: 'Chen, L., Goranci, G., Henzinger, M. H., Peng, R., &#38; Saranurak, T. (2020).
    Fast dynamic cuts, distances and effective resistances via vertex sparsifiers.
    In <i>61st Annual Symposium on Foundations of Computer Science</i> (pp. 1135–1146).
    Durham, NC, United States: Institute of Electrical and Electronics Engineers.
    <a href="https://doi.org/10.1109/focs46700.2020.00109">https://doi.org/10.1109/focs46700.2020.00109</a>'
  chicago: Chen, Li, Gramoz Goranci, Monika H Henzinger, Richard Peng, and Thatchaphol
    Saranurak. “Fast Dynamic Cuts, Distances and Effective Resistances via Vertex
    Sparsifiers.” In <i>61st Annual Symposium on Foundations of Computer Science</i>,
    1135–46. Institute of Electrical and Electronics Engineers, 2020. <a href="https://doi.org/10.1109/focs46700.2020.00109">https://doi.org/10.1109/focs46700.2020.00109</a>.
  ieee: L. Chen, G. Goranci, M. H. Henzinger, R. Peng, and T. Saranurak, “Fast dynamic
    cuts, distances and effective resistances via vertex sparsifiers,” in <i>61st
    Annual Symposium on Foundations of Computer Science</i>, Durham, NC, United States,
    2020, pp. 1135–1146.
  ista: 'Chen L, Goranci G, Henzinger MH, Peng R, Saranurak T. 2020. Fast dynamic
    cuts, distances and effective resistances via vertex sparsifiers. 61st Annual
    Symposium on Foundations of Computer Science. FOCS: Annual Symposium on Foundations
    of Computer Science, 1135–1146.'
  mla: Chen, Li, et al. “Fast Dynamic Cuts, Distances and Effective Resistances via
    Vertex Sparsifiers.” <i>61st Annual Symposium on Foundations of Computer Science</i>,
    Institute of Electrical and Electronics Engineers, 2020, pp. 1135–46, doi:<a href="https://doi.org/10.1109/focs46700.2020.00109">10.1109/focs46700.2020.00109</a>.
  short: L. Chen, G. Goranci, M.H. Henzinger, R. Peng, T. Saranurak, in:, 61st Annual
    Symposium on Foundations of Computer Science, Institute of Electrical and Electronics
    Engineers, 2020, pp. 1135–1146.
conference:
  end_date: 2020-11-19
  location: Durham, NC, United States
  name: 'FOCS: Annual Symposium on Foundations of Computer Science'
  start_date: 2020-11-16
date_created: 2022-08-16T07:33:12Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-02-17T09:47:36Z
day: '01'
doi: 10.1109/focs46700.2020.00109
extern: '1'
external_id:
  arxiv:
  - '2005.02368'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2005.02368
month: '11'
oa: 1
oa_version: Preprint
page: 1135-1146
publication: 61st Annual Symposium on Foundations of Computer Science
publication_identifier:
  eisbn:
  - 978-1-7281-9621-3
  eissn:
  - 2575-8454
  isbn:
  - 978-1-7281-9622-0
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fast dynamic cuts, distances and effective resistances via vertex sparsifiers
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '11880'
abstract:
- lang: eng
  text: "Given a directed graph and a source vertex, the fully dynamic single-source
    reachability problem is to maintain the set of vertices that are reachable from
    the given vertex, subject to edge deletions and insertions. It is one of the most
    fundamental problems on graphs and appears directly or indirectly in many and
    varied applications. While there has been theoretical work on this problem, showing
    both linear conditional lower bounds for the fully dynamic problem and insertions-only
    and deletions-only upper bounds beating these conditional lower bounds, there
    has been no experimental study that compares the performance of fully dynamic
    reachability algorithms in practice. Previous experimental studies in this area
    concentrated only on the more general all-pairs reachability or transitive closure
    problem and did not use real-world dynamic graphs.\r\n\r\nIn this paper, we bridge
    this gap by empirically studying an extensive set of algorithms for the single-source
    reachability problem in the fully dynamic setting. In particular, we design several
    fully dynamic variants of well-known approaches to obtain and maintain reachability
    information with respect to a distinguished source. Moreover, we extend the existing
    insertions-only or deletions-only upper bounds into fully dynamic algorithms.
    Even though the worst-case time per operation of all the fully dynamic algorithms
    we evaluate is at least linear in the number of edges in the graph (as is to be
    expected given the conditional lower bounds) we show in our extensive experimental
    evaluation that their performance differs greatly, both on generated as well as
    on real-world instances."
article_processing_charge: No
arxiv: 1
author:
- first_name: Kathrin
  full_name: Hanauer, Kathrin
  last_name: Hanauer
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
citation:
  ama: 'Hanauer K, Henzinger MH, Schulz C. Fully dynamic single-source reachability
    in practice: An experimental study. In: <i>2020 Symposium on Algorithm Engineering
    and Experiments</i>. Society for Industrial and Applied Mathematics; 2020:106-119.
    doi:<a href="https://doi.org/10.1137/1.9781611976007.9">10.1137/1.9781611976007.9</a>'
  apa: 'Hanauer, K., Henzinger, M. H., &#38; Schulz, C. (2020). Fully dynamic single-source
    reachability in practice: An experimental study. In <i>2020 Symposium on Algorithm
    Engineering and Experiments</i> (pp. 106–119). Salt Lake City, UT, United States:
    Society for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/1.9781611976007.9">https://doi.org/10.1137/1.9781611976007.9</a>'
  chicago: 'Hanauer, Kathrin, Monika H Henzinger, and Christian Schulz. “Fully Dynamic
    Single-Source Reachability in Practice: An Experimental Study.” In <i>2020 Symposium
    on Algorithm Engineering and Experiments</i>, 106–19. Society for Industrial and
    Applied Mathematics, 2020. <a href="https://doi.org/10.1137/1.9781611976007.9">https://doi.org/10.1137/1.9781611976007.9</a>.'
  ieee: 'K. Hanauer, M. H. Henzinger, and C. Schulz, “Fully dynamic single-source
    reachability in practice: An experimental study,” in <i>2020 Symposium on Algorithm
    Engineering and Experiments</i>, Salt Lake City, UT, United States, 2020, pp.
    106–119.'
  ista: 'Hanauer K, Henzinger MH, Schulz C. 2020. Fully dynamic single-source reachability
    in practice: An experimental study. 2020 Symposium on Algorithm Engineering and
    Experiments. ALENEX: Symposium on Algorithm Engineering and Experiments, 106–119.'
  mla: 'Hanauer, Kathrin, et al. “Fully Dynamic Single-Source Reachability in Practice:
    An Experimental Study.” <i>2020 Symposium on Algorithm Engineering and Experiments</i>,
    Society for Industrial and Applied Mathematics, 2020, pp. 106–19, doi:<a href="https://doi.org/10.1137/1.9781611976007.9">10.1137/1.9781611976007.9</a>.'
  short: K. Hanauer, M.H. Henzinger, C. Schulz, in:, 2020 Symposium on Algorithm Engineering
    and Experiments, Society for Industrial and Applied Mathematics, 2020, pp. 106–119.
conference:
  end_date: 2020-01-06
  location: Salt Lake City, UT, United States
  name: 'ALENEX: Symposium on Algorithm Engineering and Experiments'
  start_date: 2020-01-05
date_created: 2022-08-17T06:39:32Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2023-02-17T14:00:37Z
day: '01'
doi: 10.1137/1.9781611976007.9
extern: '1'
external_id:
  arxiv:
  - '1905.01216'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1905.01216
month: '01'
oa: 1
oa_version: Preprint
page: 106-119
publication: 2020 Symposium on Algorithm Engineering and Experiments
publication_identifier:
  eisbn:
  - 978-1-61197-600-7
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Fully dynamic single-source reachability in practice: An experimental study'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '11881'
abstract:
- lang: eng
  text: We introduce the fastest known exact algorithm for the multiterminal cut problem
    with k terminals. In particular, we engineer existing as well as new data reduction
    rules. We use the rules within a branch-and-reduce framework and to boost the
    performance of an ILP formulation. Our algorithms achieve improvements in running
    time of up to multiple orders of magnitudes over the ILP formulation without data
    reductions, which has been the de facto standard used by practitioners. This allows
    us to solve instances to optimality that are significantly larger than was previously
    possible.
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Noe, Alexander
  last_name: Noe
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
citation:
  ama: 'Henzinger MH, Noe A, Schulz C. Shared-memory branch-and-reduce for multiterminal
    cuts. In: <i>2020 Symposium on Algorithm Engineering and Experiments</i>. Society
    for Industrial and Applied Mathematics; 2020:42-55. doi:<a href="https://doi.org/10.1137/1.9781611976007.4">10.1137/1.9781611976007.4</a>'
  apa: 'Henzinger, M. H., Noe, A., &#38; Schulz, C. (2020). Shared-memory branch-and-reduce
    for multiterminal cuts. In <i>2020 Symposium on Algorithm Engineering and Experiments</i>
    (pp. 42–55). Salt Lake City, UT, United States: Society for Industrial and Applied
    Mathematics. <a href="https://doi.org/10.1137/1.9781611976007.4">https://doi.org/10.1137/1.9781611976007.4</a>'
  chicago: Henzinger, Monika H, Alexander Noe, and Christian Schulz. “Shared-Memory
    Branch-and-Reduce for Multiterminal Cuts.” In <i>2020 Symposium on Algorithm Engineering
    and Experiments</i>, 42–55. Society for Industrial and Applied Mathematics, 2020.
    <a href="https://doi.org/10.1137/1.9781611976007.4">https://doi.org/10.1137/1.9781611976007.4</a>.
  ieee: M. H. Henzinger, A. Noe, and C. Schulz, “Shared-memory branch-and-reduce for
    multiterminal cuts,” in <i>2020 Symposium on Algorithm Engineering and Experiments</i>,
    Salt Lake City, UT, United States, 2020, pp. 42–55.
  ista: 'Henzinger MH, Noe A, Schulz C. 2020. Shared-memory branch-and-reduce for
    multiterminal cuts. 2020 Symposium on Algorithm Engineering and Experiments. ALENEX:
    Symposium on Algorithm Engineering and Experiments, 42–55.'
  mla: Henzinger, Monika H., et al. “Shared-Memory Branch-and-Reduce for Multiterminal
    Cuts.” <i>2020 Symposium on Algorithm Engineering and Experiments</i>, Society
    for Industrial and Applied Mathematics, 2020, pp. 42–55, doi:<a href="https://doi.org/10.1137/1.9781611976007.4">10.1137/1.9781611976007.4</a>.
  short: M.H. Henzinger, A. Noe, C. Schulz, in:, 2020 Symposium on Algorithm Engineering
    and Experiments, Society for Industrial and Applied Mathematics, 2020, pp. 42–55.
conference:
  end_date: 2020-01-06
  location: Salt Lake City, UT, United States
  name: 'ALENEX: Symposium on Algorithm Engineering and Experiments'
  start_date: 2020-01-05
date_created: 2022-08-17T06:47:40Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2023-02-17T14:02:04Z
day: '01'
doi: 10.1137/1.9781611976007.4
extern: '1'
external_id:
  arxiv:
  - '1908.04141'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1908.04141
month: '01'
oa: 1
oa_version: Preprint
page: 42-55
publication: 2020 Symposium on Algorithm Engineering and Experiments
publication_identifier:
  eisbn:
  - 978-1-61197-600-7
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Shared-memory branch-and-reduce for multiterminal cuts
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '11889'
abstract:
- lang: eng
  text: "We study the problem of computing a minimum cut in a simple, undirected graph
    and give a deterministic \U0001D442(\U0001D45Alog2\U0001D45Bloglog2\U0001D45B)
    time algorithm. This improves on both the best previously known deterministic
    running time of \U0001D442(\U0001D45Alog12\U0001D45B) (Kawarabayashi and Thorup
    [J. ACM, 66 (2018), 4]) and the best previously known randomized running time
    of \U0001D442(\U0001D45Alog3\U0001D45B) (Karger [J. ACM, 47 (2000), pp. 46--76])
    for this problem, though Karger's algorithm can be further applied to weighted
    graphs. Moreover, our result extends to balanced directed graphs, where the balance
    of a directed graph captures how close the graph is to being Eulerian. Our approach
    is using the Kawarabayashi and Thorup graph compression technique, which repeatedly
    finds low conductance cuts. To find these cuts they use a diffusion-based local
    algorithm. We use instead a flow-based local algorithm and suitably adjust their
    framework to work with our flow-based subroutine. Both flow- and diffusion-based
    methods have a long history of being applied to finding low conductance cuts.
    Diffusion algorithms have several variants that are naturally local, while it
    is more complicated to make flow methods local. Some prior work has proven nice
    properties for local flow-based algorithms with respect to improving or cleaning
    up low conductance cuts. Our flow subroutine, however, is the first that both
    is local and produces low conductance cuts. Thus, it may be of independent interest."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Satish
  full_name: Rao, Satish
  last_name: Rao
- first_name: Di
  full_name: Wang, Di
  last_name: Wang
citation:
  ama: Henzinger MH, Rao S, Wang D. Local flow partitioning for faster edge connectivity.
    <i>SIAM Journal on Computing</i>. 2020;49(1):1-36. doi:<a href="https://doi.org/10.1137/18m1180335">10.1137/18m1180335</a>
  apa: Henzinger, M. H., Rao, S., &#38; Wang, D. (2020). Local flow partitioning for
    faster edge connectivity. <i>SIAM Journal on Computing</i>. Society for Industrial
    &#38; Applied Mathematics. <a href="https://doi.org/10.1137/18m1180335">https://doi.org/10.1137/18m1180335</a>
  chicago: Henzinger, Monika H, Satish Rao, and Di Wang. “Local Flow Partitioning
    for Faster Edge Connectivity.” <i>SIAM Journal on Computing</i>. Society for Industrial
    &#38; Applied Mathematics, 2020. <a href="https://doi.org/10.1137/18m1180335">https://doi.org/10.1137/18m1180335</a>.
  ieee: M. H. Henzinger, S. Rao, and D. Wang, “Local flow partitioning for faster
    edge connectivity,” <i>SIAM Journal on Computing</i>, vol. 49, no. 1. Society
    for Industrial &#38; Applied Mathematics, pp. 1–36, 2020.
  ista: Henzinger MH, Rao S, Wang D. 2020. Local flow partitioning for faster edge
    connectivity. SIAM Journal on Computing. 49(1), 1–36.
  mla: Henzinger, Monika H., et al. “Local Flow Partitioning for Faster Edge Connectivity.”
    <i>SIAM Journal on Computing</i>, vol. 49, no. 1, Society for Industrial &#38;
    Applied Mathematics, 2020, pp. 1–36, doi:<a href="https://doi.org/10.1137/18m1180335">10.1137/18m1180335</a>.
  short: M.H. Henzinger, S. Rao, D. Wang, SIAM Journal on Computing 49 (2020) 1–36.
date_created: 2022-08-17T08:09:31Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2023-02-21T16:31:25Z
day: '01'
doi: 10.1137/18m1180335
extern: '1'
external_id:
  arxiv:
  - '1704.01254'
intvolume: '        49'
issue: '1'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/abs/1704.01254
month: '01'
oa_version: Preprint
page: 1-36
publication: SIAM Journal on Computing
publication_identifier:
  eissn:
  - 1095-7111
  issn:
  - 0097-5397
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
related_material:
  record:
  - id: '11873'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Local flow partitioning for faster edge connectivity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 49
year: '2020'
...
---
_id: '11894'
abstract:
- lang: eng
  text: "Graph sparsification aims at compressing large graphs into smaller ones while
    preserving important characteristics of the input graph. In this work we study
    vertex sparsifiers, i.e., sparsifiers whose goal is to reduce the number of vertices.
    We focus on the following notions: (1) Given a digraph \U0001D43A=(\U0001D449,\U0001D438)
    and terminal vertices \U0001D43E⊂\U0001D449 with |\U0001D43E|=\U0001D458, a (vertex)
    reachability sparsifier of \U0001D43A is a digraph \U0001D43B=(\U0001D449\U0001D43B,\U0001D438\U0001D43B),
    \U0001D43E⊂\U0001D449\U0001D43B that preserves all reachability information among
    terminal pairs. Let |\U0001D449\U0001D43B| denote the size of \U0001D43B. In this
    work we introduce the notion of reachability-preserving minors (RPMs), i.e., we
    require \U0001D43B to be a minor of \U0001D43A. We show any directed graph \U0001D43A
    admits an RPM \U0001D43B of size \U0001D442(\U0001D4583), and if \U0001D43A is
    planar, then the size of \U0001D43B improves to \U0001D442(\U0001D4582log\U0001D458).
    We complement our upper bound by showing that there exists an infinite family
    of grids such that any RPM must have Ω(\U0001D4582) vertices. (2) Given a weighted
    undirected graph \U0001D43A=(\U0001D449,\U0001D438) and terminal vertices \U0001D43E
    with |\U0001D43E|=\U0001D458, an exact (vertex) cut sparsifier of \U0001D43A is
    a graph \U0001D43B with \U0001D43E⊂\U0001D449\U0001D43B that preserves the value
    of minimum cuts separating any bipartition of \U0001D43E. We show that planar
    graphs with all the \U0001D458 terminals lying on the same face admit exact cut
    sparsifiers of size \U0001D442(\U0001D4582) that are also planar. Our result extends
    to flow and distance sparsifiers. It improves the previous best-known bound of
    \U0001D442(\U0001D458222\U0001D458) for cut and flow sparsifiers by an exponential
    factor and matches an Ω(\U0001D4582) lower-bound for this class of graphs."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Pan
  full_name: Peng, Pan
  last_name: Peng
citation:
  ama: Goranci G, Henzinger MH, Peng P. Improved guarantees for vertex sparsification
    in planar graphs. <i>SIAM Journal on Discrete Mathematics</i>. 2020;34(1):130-162.
    doi:<a href="https://doi.org/10.1137/17m1163153">10.1137/17m1163153</a>
  apa: Goranci, G., Henzinger, M. H., &#38; Peng, P. (2020). Improved guarantees for
    vertex sparsification in planar graphs. <i>SIAM Journal on Discrete Mathematics</i>.
    Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/17m1163153">https://doi.org/10.1137/17m1163153</a>
  chicago: Goranci, Gramoz, Monika H Henzinger, and Pan Peng. “Improved Guarantees
    for Vertex Sparsification in Planar Graphs.” <i>SIAM Journal on Discrete Mathematics</i>.
    Society for Industrial &#38; Applied Mathematics, 2020. <a href="https://doi.org/10.1137/17m1163153">https://doi.org/10.1137/17m1163153</a>.
  ieee: G. Goranci, M. H. Henzinger, and P. Peng, “Improved guarantees for vertex
    sparsification in planar graphs,” <i>SIAM Journal on Discrete Mathematics</i>,
    vol. 34, no. 1. Society for Industrial &#38; Applied Mathematics, pp. 130–162,
    2020.
  ista: Goranci G, Henzinger MH, Peng P. 2020. Improved guarantees for vertex sparsification
    in planar graphs. SIAM Journal on Discrete Mathematics. 34(1), 130–162.
  mla: Goranci, Gramoz, et al. “Improved Guarantees for Vertex Sparsification in Planar
    Graphs.” <i>SIAM Journal on Discrete Mathematics</i>, vol. 34, no. 1, Society
    for Industrial &#38; Applied Mathematics, 2020, pp. 130–62, doi:<a href="https://doi.org/10.1137/17m1163153">10.1137/17m1163153</a>.
  short: G. Goranci, M.H. Henzinger, P. Peng, SIAM Journal on Discrete Mathematics
    34 (2020) 130–162.
date_created: 2022-08-17T08:50:24Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2023-02-21T16:29:44Z
day: '01'
doi: 10.1137/17m1163153
extern: '1'
external_id:
  arxiv:
  - '1702.01136'
intvolume: '        34'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1702.01136
month: '01'
oa: 1
oa_version: Preprint
page: 130-162
publication: SIAM Journal on Discrete Mathematics
publication_identifier:
  eissn:
  - 1095-7146
  issn:
  - 0895-4801
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
related_material:
  record:
  - id: '11831'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Improved guarantees for vertex sparsification in planar graphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2020'
...
---
_id: '11954'
abstract:
- lang: eng
  text: The combination of nickel and photocatalysis has unlocked a variety of cross-couplings.
    These protocols rely on a few photocatalysts that can only convert a small portion
    of visible light (<500 nm) into chemical energy. The high-energy photons that
    excite the photocatalyst can result in unwanted side reactions. Dyes that absorb
    a much broader spectrum of light are not applicable because of their short-lived
    singlet excited states. Here, we describe a self-assembling catalyst system that
    overcomes this limitation. Immobilization of a nickel catalyst on dye-sensitized
    titanium dioxide results in a material that catalyzes carbon–heteroatom and carbon–carbon
    bond formations. The modular approach of dye-sensitized metallaphotocatalysts
    accesses the entire visible light spectrum and allows tackling selectivity issues
    resulting from low wavelengths strategically. The concept overcomes current limitations
    of metallaphotocatalysis by unlocking the potential of dyes that were previously
    unsuitable.
article_processing_charge: No
article_type: original
author:
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Volker
  full_name: Strauss, Volker
  last_name: Strauss
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Reischauer S, Strauss V, Pieber B. Modular, self-assembling metallaphotocatalyst
    for cross-couplings using the full visible-light spectrum. <i>ACS Catalysis</i>.
    2020;10(22):13269–13274. doi:<a href="https://doi.org/10.1021/acscatal.0c03950">10.1021/acscatal.0c03950</a>
  apa: Reischauer, S., Strauss, V., &#38; Pieber, B. (2020). Modular, self-assembling
    metallaphotocatalyst for cross-couplings using the full visible-light spectrum.
    <i>ACS Catalysis</i>. American Chemical Society. <a href="https://doi.org/10.1021/acscatal.0c03950">https://doi.org/10.1021/acscatal.0c03950</a>
  chicago: Reischauer, Susanne, Volker Strauss, and Bartholomäus Pieber. “Modular,
    Self-Assembling Metallaphotocatalyst for Cross-Couplings Using the Full Visible-Light
    Spectrum.” <i>ACS Catalysis</i>. American Chemical Society, 2020. <a href="https://doi.org/10.1021/acscatal.0c03950">https://doi.org/10.1021/acscatal.0c03950</a>.
  ieee: S. Reischauer, V. Strauss, and B. Pieber, “Modular, self-assembling metallaphotocatalyst
    for cross-couplings using the full visible-light spectrum,” <i>ACS Catalysis</i>,
    vol. 10, no. 22. American Chemical Society, pp. 13269–13274, 2020.
  ista: Reischauer S, Strauss V, Pieber B. 2020. Modular, self-assembling metallaphotocatalyst
    for cross-couplings using the full visible-light spectrum. ACS Catalysis. 10(22),
    13269–13274.
  mla: Reischauer, Susanne, et al. “Modular, Self-Assembling Metallaphotocatalyst
    for Cross-Couplings Using the Full Visible-Light Spectrum.” <i>ACS Catalysis</i>,
    vol. 10, no. 22, American Chemical Society, 2020, pp. 13269–13274, doi:<a href="https://doi.org/10.1021/acscatal.0c03950">10.1021/acscatal.0c03950</a>.
  short: S. Reischauer, V. Strauss, B. Pieber, ACS Catalysis 10 (2020) 13269–13274.
date_created: 2022-08-24T10:40:46Z
date_published: 2020-11-02T00:00:00Z
date_updated: 2023-02-21T10:09:09Z
day: '02'
doi: 10.1021/acscatal.0c03950
extern: '1'
intvolume: '        10'
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.26434/chemrxiv.12444908
month: '11'
oa: 1
oa_version: Preprint
page: 13269–13274
publication: ACS Catalysis
publication_identifier:
  eissn:
  - 2155-5435
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modular, self-assembling metallaphotocatalyst for cross-couplings using the
  full visible-light spectrum
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2020'
...
