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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| Vydané v: | Applied mathematics and computation Ročník 443; s. 127781 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Inc
15.04.2023
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| Abstract | •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. |
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| AbstractList | •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. |
| ArticleNumber | 127781 |
| Author | Zhang, Xin Bi, Huimin |
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| Cites_doi | 10.1016/j.dam.2013.10.007 10.7151/dmgt.2076 10.1016/0012-365X(76)90103-5 10.1016/0012-365X(93)90286-3 10.1016/j.dam.2019.04.027 10.1016/j.dam.2009.11.017 10.1016/j.tcs.2021.05.026 10.1016/0012-365X(95)00342-T 10.1016/0012-365X(89)90073-3 10.1016/j.dam.2007.10.021 |
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| Keywords | Defective coloring Polynomial-time algorithm Latin square Outerplanar graph 68R10 Incidence coloring 05C15 |
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| SubjectTerms | Defective coloring Incidence coloring Latin square Outerplanar graph Polynomial-time algorithm |
| Title | Defective incidence coloring of graphs |
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