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Maximum covering with D cliques

Identifieur interne : 002C24 ( Main/Exploration ); précédent : 002C23; suivant : 002C25

Maximum covering with D cliques

Auteurs : Klaus Jansen [Allemagne] ; Petra Scheffler [Allemagne] ; Gerhard J. Woeginger [Autriche]

Source :

RBID : ISTEX:715DA59B18382A8CD5A6A2424E5D28B8733FAD9F

Abstract

Abstract: Given a graph G = (V, E), we consider the problem to find a set of D pairwise disjoint cliques in it with maximum overall number of vertices. We determine the computational complexity of this problem restricted to a variety of different graph classes. We give polynomial time algorithms for the problem restricted to interval graphs, bipartite graphs, cographs, directed path graphs and partial k-trees. In contrast, we show the NP-completeness for undirected path graphs.

Url:
DOI: 10.1007/3-540-57163-9_27


Affiliations:


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