Vertex disjoint paths on clique-width bounded graphs

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Abstract

We show that l vertex disjoint paths between l pairs of vertices can be found in linear time for co-graphs but is NP-complete for graphs of NLC-width at most 4 and clique-width at most 7. This is the first inartificial graph problem known to be NP-complete on graphs of bounded clique-width but solvable in linear time on co-graphs and graphs of bounded tree-width. © Springer-Verlag 2004.

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Gurski, F., & Wanke, E. (2004). Vertex disjoint paths on clique-width bounded graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2976, 119–128. https://doi.org/10.1007/978-3-540-24698-5_16

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