Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Nenadov, Rajko; Steger, Angelika; Su, Pascal https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-135997
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An O(N) Time Algorithm for Finding Hamilton Cycles with High Probability

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Abstract

We design a randomized algorithm that finds a Hamilton cycle in 𝒪(n) time with high probability in a random graph G_{n,p} with edge probability p ≥ C log n / n. This closes a gap left open in a seminal paper by Angluin and Valiant from 1979.

BibTeX - Entry

@InProceedings{nenadov_et_al:LIPIcs.ITCS.2021.60,
  author =	{Rajko Nenadov and Angelika Steger and Pascal Su},
  title =	{{An O(N) Time Algorithm for Finding Hamilton Cycles with High Probability}},
  booktitle =	{12th Innovations in Theoretical Computer Science Conference (ITCS 2021)},
  pages =	{60:1--60:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-177-1},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{185},
  editor =	{James R. Lee},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13599},
  URN =		{urn:nbn:de:0030-drops-135997},
  doi =		{10.4230/LIPIcs.ITCS.2021.60},
  annote =	{Keywords: Random Graphs, Hamilton Cycle, Perfect Matching, Linear Time, Sublinear Algorithm, Random Walk, Coupon Collector}
}

Keywords: Random Graphs, Hamilton Cycle, Perfect Matching, Linear Time, Sublinear Algorithm, Random Walk, Coupon Collector
Seminar: 12th Innovations in Theoretical Computer Science Conference (ITCS 2021)
Issue date: 2021
Date of publication: 04.02.2021


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