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DOI: 10.4230/LIPIcs.STACS.2009.1824

A Polynomial Kernel for Multicut in Trees

Authors: Nicolas Bousquet, Jean Daligault, Stephan Thomasse, and Anders Yeo

Published in: LIPIcs, Volume 3, 26th International Symposium on Theoretical Aspects of Computer Science (2009)

Abstract

The {\sc Multicut In Trees} problem consists in deciding, given a tree, a set of requests (i.e. paths in the tree) and an integer $k$, whether there exists a set of $k$ edges cutting all the requests. This problem was shown to be FPT by Guo and Niedermeyer (2005). They also provided an exponential kernel. They asked whether this problem has a polynomial kernel. This question was also raised by Fellows (2006). We show that {\sc Multicut In Trees} has a polynomial kernel.

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Nicolas Bousquet, Jean Daligault, Stephan Thomasse, and Anders Yeo. A Polynomial Kernel for Multicut in Trees. In 26th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 3, pp. 183-194, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)

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@InProceedings{bousquet_et_al:LIPIcs.STACS.2009.1824,
  author =	{Bousquet, Nicolas and Daligault, Jean and Thomasse, Stephan and Yeo, Anders},
  title =	{{A Polynomial Kernel for Multicut in Trees}},
  booktitle =	{26th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{183--194},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-09-5},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{3},
  editor =	{Albers, Susanne and Marion, Jean-Yves},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2009.1824},
  URN =		{urn:nbn:de:0030-drops-18247},
  doi =		{10.4230/LIPIcs.STACS.2009.1824},
  annote =	{Keywords: }
}

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A Polynomial Kernel for Multicut in Trees

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