VERTEX COLORING OF A FUZZY GRAPH USING ALPA CUT

Journal Title: International Journal of Management, IT and Engineering - Year 2012, Vol 2, Issue 8

Abstract

Let G= (VF,EF) be a simple connected undirected fuzzy graph where VF is a fuzzy set of vertices where each vertices has membership value µ and EF is a fuzzy set of edges where each edge has a membership value σ. Vertex coloring is a function which assigns colors to the vertices so that adjacent vertices receive different colors. In this paper, we introduce a coloring function of fuzzy graph (crisp mode) to color all the vertices of graph of G and find the chromatic number of graph G which is a fuzzy number. The function is based on α cut of graph G. For different value of α cut which is depended on edge and vertex membership value of graph G we will get different graph and different chromatic number.

Authors and Affiliations

Arindam Dey and Anita Pal

Keywords

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  • EP ID EP18522
  • DOI -
  • Views 233
  • Downloads 12

How To Cite

Arindam Dey and Anita Pal (2012). VERTEX COLORING OF A FUZZY GRAPH USING ALPA CUT. International Journal of Management, IT and Engineering, 2(8), -. https://europub.co.uk/articles/-A-18522