B-coloring Of Graphs

eldamutia

23 Jul, 2022

The b-chromatic number of a G graph is the largest bG positive integer that the G graph has a b-coloring. A b-coloring may be obtained by the following heuristic that improves some given coloring of a graph.

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A b-coloring is a coloring such that each color class has a b-vertex.

B-coloring of graphs. In graph theory a b-coloring of a graph is a coloring of the vertices where each color class contains a vertex that has a neighbor in all other color classes. The b-chromatic number of a graph G denoted χ b G is the largest integer k such that G admits a b-coloring with k colors.

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