Multicut is FPT

Nicolas Bousquet 1 Jean Daligault 1 Stéphan Thomassé 1
1 ALGCO - Algorithmes, Graphes et Combinatoire
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Let G=(V,E) be a graph on n vertices and R be a set of pairs of vertices in V called requests. A multicut is a subset F of E such that every request xy of R is cut by F, i.e. every xy-path of G intersects F. We show that there exists an O(f(k)nc) algorithm which decides if there exists a multicut of size at most k. In other words, the Multicut problem parameterized by the solution size k is Fixed-Parameter Tractable.
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Conference papers
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00741933
Contributor : Nicolas Bousquet <>
Submitted on : Monday, October 15, 2012 - 3:17:45 PM
Last modification on : Tuesday, January 22, 2019 - 7:10:05 PM

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Nicolas Bousquet, Jean Daligault, Stéphan Thomassé. Multicut is FPT. STOC'11: Symposium on Theory of Computing, United States. pp.459-468. ⟨lirmm-00741933⟩

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