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Bounding clique-width via perfect graphs.

Dabrowski, K.K. and Huang, S. and Paulusma, D. (2019) 'Bounding clique-width via perfect graphs.', Journal of computer and system sciences., 104 . pp. 202-215.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.jcss.2016.06.007
Publisher statement:© 2016 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Date accepted:24 June 2016
Date deposited:07 July 2016
Date of first online publication:12 July 2016
Date first made open access:12 July 2017

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