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DOI: 10.4230/LIPIcs.AofA.2018.16
URN: urn:nbn:de:0030-drops-89097
URL: https://drops.dagstuhl.de/opus/volltexte/2018/8909/
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Cooper, Colin ; Frieze, Alan ; Johansson, Tony

The Cover Time of a Biased Random Walk on a Random Cubic Graph

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Abstract

We study a random walk that prefers to use unvisited edges in the context of random cubic graphs, i.e., graphs chosen uniformly at random from the set of 3-regular graphs. We establish asymptotically correct estimates for the vertex and edge cover times, these being n log n and 3/2 n log n respectively.

BibTeX - Entry

@InProceedings{cooper_et_al:LIPIcs:2018:8909,
  author =	{Colin Cooper and Alan Frieze and Tony Johansson},
  title =	{{The Cover Time of a Biased Random Walk on a Random Cubic Graph}},
  booktitle =	{29th International Conference on Probabilistic,  Combinatorial and Asymptotic Methods for the Analysis of Algorithms  (AofA 2018)},
  pages =	{16:1--16:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-078-1},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{110},
  editor =	{James Allen Fill and Mark Daniel Ward},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/8909},
  URN =		{urn:nbn:de:0030-drops-89097},
  doi =		{10.4230/LIPIcs.AofA.2018.16},
  annote =	{Keywords: Random walk, random regular graph, cover time}
}

Keywords: Random walk, random regular graph, cover time
Seminar: 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018)
Issue Date: 2018
Date of publication: 08.06.2018


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