
arXiv: 0711.3959
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.
Extremal problems in graph theory, Perfect graphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], chordal graphs, forbidden subgraph, 004, 510, Coloring of graphs and hypergraphs, b-coloring, Computer Science - Discrete Mathematics
Extremal problems in graph theory, Perfect graphs, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], chordal graphs, forbidden subgraph, 004, 510, Coloring of graphs and hypergraphs, b-coloring, Computer Science - Discrete Mathematics
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