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arXiv · 2202.03732

Defective incidence coloring of graphs

Huimin Bi·Xin Zhang
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Abstract

We define the $d$-defective incidence chromatic number of a graph, generalizing the notion of incidence chromatic number, and determine it for some classes of graphs including trees, complete bipartite graphs, complete graphs, and outerplanar graphs. Fast algorithms for constructing the optimal $d$-defective incidence colorings of those graphs are presented.

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Huimin Bi, Xin Zhang. 2022-02-08. Defective incidence coloring of graphs. https://arxiv.org/abs/2202.03732

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