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A new approach to the planted clique problem

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Abstract

We study the problem of finding a large planted clique in the random graph $G_{n,1/2}$. We reduce the problem to that of maximising a three dimensional tensor over the unit ball in $n$ dimensions. This latter problem has not been well studied and so we hope that this reduction will eventually lead to an improved solution to the planted clique problem.

BibTeX - Entry

@InProceedings{frieze_et_al:LIPIcs:2008:1752,
  author =	{Alan Frieze and Ravi Kannan},
  title =	{{A new approach to the planted clique problem}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{187--198},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-08-8},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{2},
  editor =	{Ramesh Hariharan and Madhavan Mukund and V Vinay},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1752},
  URN =		{urn:nbn:de:0030-drops-17521},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2008.1752},
  annote =	{Keywords: Planted Clique, Tensor, Random Graph}
}

Keywords: Planted Clique, Tensor, Random Graph
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Issue date: 2008
Date of publication: 2008


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