Defective incidence coloring of graphs

•Proper incidence coloring of graphs is generalized as defective incidence coloring of graphs.•Fast algorithms for constructing the optimal defective incidence colorings of certain graphs are presented.•Relation between the 1-defective incidence (n−1)-coloring and Latin square of order n is given. W...

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Veröffentlicht in:Applied mathematics and computation Jg. 443; S. 127781
Hauptverfasser: Bi, Huimin, Zhang, Xin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 15.04.2023
Schlagworte:
Defective coloring
Incidence coloring
Latin square
Outerplanar graph
Polynomial-time algorithm
Defective coloring
Polynomial-time algorithm
Latin square
Outerplanar graph
68R10
Incidence coloring
05C15
ISSN:0096-3003, 1873-5649
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:•Proper incidence coloring of graphs is generalized as defective incidence coloring of graphs.•Fast algorithms for constructing the optimal defective incidence colorings of certain graphs are presented.•Relation between the 1-defective incidence (n−1)-coloring and Latin square of order n is given. 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2022.127781