Hitting and Harvesting Pumpkins

Abstract : The c-pumpkin is the graph with two vertices linked by c ≥ 1 parallel edges. A c-pumpkin-model in a graph G is a pair {A, B} of disjoint subsets of vertices of G, each inducing a connected subgraph of G, such that there are at least c edges in G between A and B. We focus on covering and packing c-pumpkin-models in a given graph: On the one hand, we provide an FPT algorithm running in time 2^{O(k)}.n^{O(1)} deciding, for any fixed c ≥ 1, whether all c-pumpkin-models can be covered by at most k vertices. This generalizes known single-exponential FPT algorithms for Vertex Cover and Feedback Vertex Set, which correspond to the cases c = 1, 2 respectively. On the other hand, we present a O(log n)-approximation algorithm for both the problems of covering all c-pumpkin-models with a smallest number of vertices, and packing a maximum number of vertex-disjoint c-pumpkin-models.
Type de document :
Communication dans un congrès
ESA: European Symposium on Algorithms, Sep 2011, Saarbrücken, Germany. 19th European Symposium on Algorithms, LNCS (6942), pp.394-407, 2011, 〈http://esa2011.mpi-inf.mpg.de〉
Liste complète des métadonnées

https://hal-lirmm.ccsd.cnrs.fr/lirmm-00642341
Contributeur : Christophe Paul <>
Soumis le : jeudi 17 novembre 2011 - 21:13:41
Dernière modification le : jeudi 24 mai 2018 - 15:59:22

Identifiants

  • HAL Id : lirmm-00642341, version 1

Collections

Citation

Gwénaël Joret, Christophe Paul, Ignasi Sau, Saket Saurabh, Stéphan Thomassé. Hitting and Harvesting Pumpkins. ESA: European Symposium on Algorithms, Sep 2011, Saarbrücken, Germany. 19th European Symposium on Algorithms, LNCS (6942), pp.394-407, 2011, 〈http://esa2011.mpi-inf.mpg.de〉. 〈lirmm-00642341〉

Partager

Métriques

Consultations de la notice

136