Faster worst case deterministic dynamic connectivity

Casper Kejlberg-Rasmussen, Tsvi Kopelowitz, Seth Pettie, Mikkel Thorup

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a deterministic dynamic connectivity data structure for undirected graphs with worst case update time O(√n(log log n)2/log n) and constant query time. This improves on the previous best deterministic worst case algorithm of Frederickson (SIAM J. Comput., 1985) and Eppstein Galil, Italiano, and Nissenzweig (J. ACM, 1997), which had update time O(√n). All other algorithms for dynamic connectivity are either randomized (Monte Carlo) or have only amortized performance guarantees.

Original languageEnglish
Title of host publication24th Annual European Symposium on Algorithms, ESA 2016
EditorsChristos Zaroliagis, Piotr Sankowski
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959770156
DOIs
StatePublished - 1 Aug 2016
Externally publishedYes
Event24th Annual European Symposium on Algorithms, ESA 2016 - Aarhus, Denmark
Duration: 22 Aug 201624 Aug 2016

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume57

Conference

Conference24th Annual European Symposium on Algorithms, ESA 2016
Country/TerritoryDenmark
CityAarhus
Period22/08/1624/08/16

Keywords

  • Dynamic graph
  • Spanning tree

All Science Journal Classification (ASJC) codes

  • Software

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