An Introduction to Fuzzy Edge Coloring

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 11, Issue 10

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.

Authors and Affiliations

Kanzul Fathima K. S, Jahir Hussain R

Keywords

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  • EP ID EP651639
  • DOI 10.24297/jam.v11i10.801
  • Views 142
  • Downloads 0

How To Cite

Kanzul Fathima K. S, Jahir Hussain R (2016). An Introduction to Fuzzy Edge Coloring. JOURNAL OF ADVANCES IN MATHEMATICS, 11(10), 5742-5748. https://europub.co.uk/articles/-A-651639