Reducing the Clique and Chromatic Number via Edge Contractions and Vertex Deletions
Published in:
 Lecture Notes in Computer Science.  2016, vol. 9849, p. 3849
English
We consider the following problem: can a certain graph parameter of some given graph G be reduced by at least d, for some integer d, via at most k graph operations from some specified set S, for some given integer k? As graph parameters we take the chromatic number and the clique number. We let the set S consist of either an edge contraction or a vertex deletion. As all these problems are NPcomplete for general graphs even if d is fixed, we restrict the input graph G to some special graph class. We continue a line of research that considers these problems for subclasses of perfect graphs, but our main results are full classifications, from a computational complexity point of view, for graph classes characterized by forbidding a single induced connected subgraph H.

Faculty
 Faculté des sciences économiques et sociales et du management

Department
 Département d'informatique

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Classification

Computer science and technology

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Persistent URL

https://folia.unifr.ch/unifr/documents/307828
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