An edge-coloring of a graph G is equitable if, for each v β V (G), the number of edges colored with any one color incident with v differs from the number of edges colored with any other color incident with v by at most one. A new sufficient condition for equitable edge-colorings of simple graphs is
β¦ LIBER β¦
Equitable colorings of Cartesian products of graphs
β Scribed by Wu-Hsiung Lin; Gerard J. Chang
- Book ID
- 113564696
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 473 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0166-218X
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## Abstract This article proves the following result: Let __G__ and __G__β² be graphs of orders __n__ and __n__β², respectively. Let __G__^\*^ be obtained from __G__ by adding to each vertex a set of __n__β² degree 1 neighbors. If __G__^\*^ has game coloring number __m__ and __G__β² has acyclic chromat
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