2001 | OriginalPaper | Buchkapitel
How to Solve NP-hard Graph Problems on Clique-Width Bounded Graphs in Polynomial Time
verfasst von : Wolfgang Espelage, Frank Gurski, Egon Wanke
Erschienen in: Graph-Theoretic Concepts in Computer Science
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We show that many non-MSO1 NP-hard graph problems can be solved in polynomial time on clique-width and NLC-width bounded graphs using a very general and simple scheme. Our examples are partition into cliques, partition into triangles, partition into complete bipartite subgraphs, partition into perfect matchings, partition into forests, cubic subgraph, Hamiltonian path, minimum maximal matching, and vertex/edge separation problems.