首页|Compelling colorings: A generalization of the dominator chromatic number

Compelling colorings: A generalization of the dominator chromatic number

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We define a P-compelling coloring as a proper coloring of the vertices of a graph such that every subset consisting of one vertex of each color has property P. The P-compelling chromatic number is the minimum number of colors in such a coloring. We show that this notion generalizes the dominator and total dominator chromatic numbers, and provide some general bounds and algorithmic results. We also investigate the specific cases where P is that the subset contains at least one edge or that the subset is connected. (C) 2022 Elsevier Inc. All rights reserved.

Bachstein, Anna、Goddard, Wayne、Henning, Michael A.、Xue, John

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Clemson Univ

Univ Johannesburg

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.428
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