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arXiv · 0711.3959

On b-perfect chordal graphs

Frédéric Maffray·Meriem Mechebbek
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Abstract

The b-chromatic number of a graph G is the largest integer k such that G has a coloring of the vertices in k color classes such that every color class contains a vertex that has a neighbour in all other color classes. We characterize the class of chordal graphs for which the b-chromatic number is equal to the chromatic number for every induced subgraph.

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Frédéric Maffray, Meriem Mechebbek. 2007-11-26. On b-perfect chordal graphs. https://arxiv.org/abs/0711.3959

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