Certain fuzzy colorings on wheel related fuzzy graphs and an application tointerview scheduling optimization
Keywords:
fuzzy coloring, fractional coloring, wheel graph, star graph,friendship graph,fan graphAbstract
The concept of a fuzzy graph is an extension of a graph where the degrees of membership of vertices and edges show ambiguous or imprecise interactions between them. The strength of the edge’s incident to a vertex in a fuzzy graph determines the fuzzy color that can be applied to that vertex. In this research, we derive results on fuzzy coloring's chromatic numbers and fuzzy fractional coloring of several wheel-related fuzzy graphs. We then use these fuzzy coloring approaches to address a real-world interview schedule optimization problem.
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