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Hitting diamonds and growing cacti

par Fiorini, Samuel ;Joret, Gwenaël ;Pietropaoli, Ugo
Référence Lecture notes in computer science, 6080 LNCS, page (191-204)
Publication Publié, 2010

Article révisé par les pairs

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Résumé :

We consider the following NP-hard problem: in a weighted graph, find a minimum cost set of vertices whose removal leaves a graph in which no two cycles share an edge. We obtain a constant-factor approximation algorithm, based on the primal-dual method. Moreover, we show that the integrality gap of the natural LP relaxation of the problem is Θ(logn), where n denotes the number of vertices in the graph. © 2010 Springer-Verlag.