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Bounding the clique-width of H-free split graphs.

Brandstädt, A. and Dabrowski, K.K. and Huang, S. and Paulusma, D. (2015) 'Bounding the clique-width of H-free split graphs.', Electronic notes in discrete mathematics., 49 . pp. 497-503.


A graph is H-free if it has no induced subgraph isomorphic to H. We continue a study into the boundedness of clique-width of subclasses of perfect graphs. We identify five new classes of H-free split graphs whose clique-width is bounded. Our main result, obtained by combining new and known results, provides a classification of all but two stubborn cases, that is, with two potential exceptions we determine all graphs H for which the class of H-free split graphs has bounded clique-width.

Item Type:Article
Keywords:Clique-width, Split graphs, Perfect graphs, Forbidden induced subgraph, Hereditary graph class.
Full text:(AM) Accepted Manuscript
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
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Publisher statement:© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Date accepted:No date available
Date deposited:21 August 2015
Date of first online publication:November 2015
Date first made open access:12 November 2016

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