A. Brandstädt
Bounding the clique-width of H-free split graphs
Brandstädt, A.; Dabrowski, K.K.; Huang, S.; Paulusma, D.
Abstract
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.
Citation
Brandstädt, A., Dabrowski, K., Huang, S., & Paulusma, D. (2016). Bounding the clique-width of H-free split graphs. Discrete Applied Mathematics, 211, 30-39. https://doi.org/10.1016/j.dam.2016.04.003
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 6, 2016 |
Online Publication Date | May 6, 2016 |
Publication Date | Oct 1, 2016 |
Deposit Date | May 17, 2016 |
Publicly Available Date | May 6, 2017 |
Journal | Discrete Applied Mathematics |
Print ISSN | 0166-218X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 211 |
Pages | 30-39 |
DOI | https://doi.org/10.1016/j.dam.2016.04.003 |
Public URL | https://durham-repository.worktribe.com/output/1381705 |
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Copyright 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/
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