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Feedback vertex set on AT-free graphs
Authors:Dieter Kratsch
Institution:a Laboratoire d’Informatique Théorique et Appliquée, Université de Metz, 57045 Metz Cedex 01, France
b School of Computing, University of Leeds, Leeds LS2 9JT, UK
c Laboratoire d’Informatique Fondamentale d’Orléans (LIFO), Université d’Orléans, BP 6759, 45067 Orléans Cedex 2, France
Abstract:We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for graphs of bounded asteroidal number.
Keywords:Feedback vertex set  Asteroidal triple-free graph
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