A Polynomial Kernel For Multicut In Trees

Nicolas Bousquet 1 Jean Daligault 2 Stéphan Thomassé 3 Anders Yeo 4
1 ENS Cachan - École normale supérieure - Cachan
2 LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
3 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
4 Department of Computer Science
Abstract : The 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. They also provided an exponential kernel. They asked whether this problem has a polynomial kernel. This question was also raised by Fellows. We show that MULTICUT IN TREES has a polynomial kernel.
Type de document :
Communication dans un congrès
Susanne Albers and Jean-Yves Marion. STACS'2009: 26th International Symposium on Theoretical Aspects of Computer Science, Feb 2009, Freiburg, Germany. IBFI Schloss Dagstuhl, pp.183-194, 2009, Proceedings of the 26th Annual Symposium on the Theoretical Aspects of Computer Science
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Contributeur : Publications Loria <>
Soumis le : vendredi 6 février 2009 - 10:47:34
Dernière modification le : jeudi 31 mai 2018 - 14:54:04
Document(s) archivé(s) le : mardi 8 juin 2010 - 21:57:11

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  • HAL Id : inria-00359171, version 1
  • ARXIV : 0902.1047

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STACS2009 | ALGCO | LIRMM | ENS-CACHAN | TDS-MACS | MIPS | UNIV-MONTPELLIER

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Nicolas Bousquet, Jean Daligault, Stéphan Thomassé, Anders Yeo. A Polynomial Kernel For Multicut In Trees. Susanne Albers and Jean-Yves Marion. STACS'2009: 26th International Symposium on Theoretical Aspects of Computer Science, Feb 2009, Freiburg, Germany. IBFI Schloss Dagstuhl, pp.183-194, 2009, Proceedings of the 26th Annual Symposium on the Theoretical Aspects of Computer Science. 〈inria-00359171〉

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