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arXiv · 0909.4719

On graphs without a C4 or a diamond

Elaine M. Eschen·Chinh T. Hoang·Jeremy P. Spinrad·R. Sritharan
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Abstract

We consider the class of (C4, diamond)-free graphs; graphs in this class do not contain a C4 or a diamond as an induced subgraph. We provide an efficient recognition algorithm for this class. We count the number of maximal cliques in a (C4, diamond)-free graph and the number of n-vertex, labeled (C4, diamond)-free graphs. We also give an efficient algorithm for finding a largest clique in the more general class of (house, diamond)-free graphs.

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Elaine M. Eschen, Chinh T. Hoang, Jeremy P. Spinrad, R. Sritharan. 2009-09-25. On graphs without a C4 or a diamond. https://arxiv.org/abs/0909.4719

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