Fuzzy Total Coloring and Chromatic Number of a Complete Fuzzy Graph

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Date
2013
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Abstract
For a graph Gk = (U o, p,), a fuzzy coloring function assigns values to each of the vertices and edges in such a way that no two adjacent vertices and incident edges share the same color. In this paper we introduce the concept of k-fuzzy total coloring on a complete fuzzy graph. We determine the chromatic number for a complete fuzzy graph Gk, with fuzzy set of vertices and fuzzy set of edges in terms of family of fuzzy sets.
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