An Introduction to Fuzzy Edge Coloring
DOI:
https://doi.org/10.24297/jam.v11i10.801Keywords:
Fuzzy edge coloring, fuzzy edge chromatic number, fuzzy bipartite graph, fuzzy cycle, complete fuzzy graph, fuzzy line graph.Abstract
In this paper, a new concept of fuzzy edge coloring is introduced. The fuzzy edge coloring is an assignment of colors to edges of a fuzzy graph G. It is proper if no two strong adjacent edges of G will receive the same color. Fuzzy edge chromatic number of G is least positive integer for which G has a proper fuzzy edge coloring. In this paper, the fuzzy edge chromatic number of different classes of fuzzy graphs and the fuzzy edge chromatic number of fuzzy line graphs are found. Isochromatic fuzzy graph is also defined.
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