Title of article :
Upper bounds to the clique width of graphs Original Research Article
Author/Authors :
Bruno Courcelle، نويسنده , , Stephan Olariu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Abstract :
Hierarchical decompositions of graphs are interesting for algorithmic purposes. Many NP complete problems have linear complexity on graphs with tree-decompositions of bounded width. We investigate alternate hierarchical decompositions that apply to wider classes of graphs and still enjoy good algorithmic properties. These decompositions are motivated and inspired by the study of vertex-replacement context-free graph grammars. The complexity measure of graphs associated with these decompositions is called clique width. In this paper we bound the clique width of a graph in terms of its tree width on the one hand, and of the clique width of its edge complement on the other.
Keywords :
Algorithms , Monadic second-order logic , Hierarchical graph decompositions , Tree decompositions , Modular decomposition
Journal title :
Discrete Applied Mathematics
Journal title :
Discrete Applied Mathematics