Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Kneis, Joachim; Langer, Alexander; Rossmanith, Peter http://www.dagstuhl.de/lipics License
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A Fine-grained Analysis of a Simple Independent Set Algorithm

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Abstract

We present a simple exact algorithm for the \is\ problem with a runtime bounded by $O(\rt^n \poly(n))$. This bound is obtained by, firstly, applying a new branching rule and, secondly, by a distinct, computer-aided case analysis. The new branching rule uses the concept of satellites and has previously only been used in an algorithm for sparse graphs. The computer-aided case analysis allows us to capture the behavior of our algorithm in more detail than in a traditional analysis. The main purpose of this paper is to demonstrate how a very simple algorithm can outperform more complicated ones if the right analysis of its running time is performed.

BibTeX - Entry

@InProceedings{kneis_et_al:LIPIcs:2009:2326,
  author =	{Joachim Kneis and Alexander Langer and Peter Rossmanith},
  title =	{{A Fine-grained Analysis of a Simple Independent Set Algorithm}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{287--298},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Ravi Kannan and K. Narayan Kumar},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2009/2326},
  URN =		{urn:nbn:de:0030-drops-23269},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2009.2326},
  annote =	{Keywords: Exact Algorithms, Independent Set, Computer-aided Proof}
}

Keywords: Exact Algorithms, Independent Set, Computer-aided Proof
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Issue date: 2009
Date of publication: 2009


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