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Durham University

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Publication details

Dabrowski, K.K., Huang, S. & Paulusma, D. (2019). Bounding clique-width via perfect graphs. Journal of Computer and System Sciences 104: 202-215.

Author(s) from Durham

Abstract

We continue the study into the clique-width of graph classes defined by two forbidden induced graphs. We present three new classes of bounded clique-width and one of unbounded clique-width. The four new graph classes have in common that one of their two forbidden induced subgraphs is the diamond. To prove boundedness of clique-width for the first three cases we develop a technique based on bounding clique covering number in combination with reduction to subclasses of perfect graphs. We extend our proof of unboundedness for the fourth case to show that Graph Isomorphism is Graph Isomorphism-complete on the same graph class.