Fully-dynamic planarity testing in polylogarithmic time

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Standard

Fully-dynamic planarity testing in polylogarithmic time. / Holm, Jacob; Rotenberg, Eva.

STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing. red. / Konstantin Makarychev; Yury Makarychev; Madhur Tulsiani; Gautam Kamath; Julia Chuzhoy. Association for Computing Machinery, 2020. s. 167-180.

Publikation: Bidrag til bog/antologi/rapportKonferencebidrag i proceedingsForskningfagfællebedømt

Harvard

Holm, J & Rotenberg, E 2020, Fully-dynamic planarity testing in polylogarithmic time. i K Makarychev, Y Makarychev, M Tulsiani, G Kamath & J Chuzhoy (red), STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery, s. 167-180, 52nd Annual ACM SIGACT Symposium on Theory of Computing, STOC 2020, Chicago, USA, 22/06/2020. https://doi.org/10.1145/3357713.3384249

APA

Holm, J., & Rotenberg, E. (2020). Fully-dynamic planarity testing in polylogarithmic time. I K. Makarychev, Y. Makarychev, M. Tulsiani, G. Kamath, & J. Chuzhoy (red.), STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing (s. 167-180). Association for Computing Machinery. https://doi.org/10.1145/3357713.3384249

Vancouver

Holm J, Rotenberg E. Fully-dynamic planarity testing in polylogarithmic time. I Makarychev K, Makarychev Y, Tulsiani M, Kamath G, Chuzhoy J, red., STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery. 2020. s. 167-180 https://doi.org/10.1145/3357713.3384249

Author

Holm, Jacob ; Rotenberg, Eva. / Fully-dynamic planarity testing in polylogarithmic time. STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing. red. / Konstantin Makarychev ; Yury Makarychev ; Madhur Tulsiani ; Gautam Kamath ; Julia Chuzhoy. Association for Computing Machinery, 2020. s. 167-180

Bibtex

@inproceedings{8c747694c3704f2f843c42410486eaed,
title = "Fully-dynamic planarity testing in polylogarithmic time",
abstract = "Given a dynamic graph subject to insertions and deletions of edges, a natural question is whether the graph presently admits a planar embedding. We give a deterministic fully-dynamic algorithm for general graphs, running in amortized O(log3 n) time per edge insertion or deletion, that maintains a bit indicating whether or not the graph is presently planar. This is an exponential improvement over the previous best algorithm [Eppstein, Galil, Italiano, Spencer, 1996] which spends amortized O(√n) time per update.",
keywords = "Deterministic amortized upper bound, Dynamic graphs, Planarity",
author = "Jacob Holm and Eva Rotenberg",
year = "2020",
doi = "10.1145/3357713.3384249",
language = "English",
pages = "167--180",
editor = "Konstantin Makarychev and Yury Makarychev and Madhur Tulsiani and Gautam Kamath and Julia Chuzhoy",
booktitle = "STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing",
publisher = "Association for Computing Machinery",
note = "52nd Annual ACM SIGACT Symposium on Theory of Computing, STOC 2020 ; Conference date: 22-06-2020 Through 26-06-2020",

}

RIS

TY - GEN

T1 - Fully-dynamic planarity testing in polylogarithmic time

AU - Holm, Jacob

AU - Rotenberg, Eva

PY - 2020

Y1 - 2020

N2 - Given a dynamic graph subject to insertions and deletions of edges, a natural question is whether the graph presently admits a planar embedding. We give a deterministic fully-dynamic algorithm for general graphs, running in amortized O(log3 n) time per edge insertion or deletion, that maintains a bit indicating whether or not the graph is presently planar. This is an exponential improvement over the previous best algorithm [Eppstein, Galil, Italiano, Spencer, 1996] which spends amortized O(√n) time per update.

AB - Given a dynamic graph subject to insertions and deletions of edges, a natural question is whether the graph presently admits a planar embedding. We give a deterministic fully-dynamic algorithm for general graphs, running in amortized O(log3 n) time per edge insertion or deletion, that maintains a bit indicating whether or not the graph is presently planar. This is an exponential improvement over the previous best algorithm [Eppstein, Galil, Italiano, Spencer, 1996] which spends amortized O(√n) time per update.

KW - Deterministic amortized upper bound

KW - Dynamic graphs

KW - Planarity

U2 - 10.1145/3357713.3384249

DO - 10.1145/3357713.3384249

M3 - Article in proceedings

AN - SCOPUS:85086766769

SP - 167

EP - 180

BT - STOC 2020 - Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing

A2 - Makarychev, Konstantin

A2 - Makarychev, Yury

A2 - Tulsiani, Madhur

A2 - Kamath, Gautam

A2 - Chuzhoy, Julia

PB - Association for Computing Machinery

T2 - 52nd Annual ACM SIGACT Symposium on Theory of Computing, STOC 2020

Y2 - 22 June 2020 through 26 June 2020

ER -

ID: 246825065