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arXiv · 1507.01613

A note on the clique number of complete $k$-partite graphs

Boris Brimkov
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Abstract

In this note, we show that a complete $k$-partite graph is the only graph with clique number $k$ among all degree-equivalent simple graphs. This result gives a lower bound on the clique number, which is sharper than existing bounds on a large family of graphs.

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Boris Brimkov. 2015-07-06. A note on the clique number of complete $k$-partite graphs. https://arxiv.org/abs/1507.01613

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