An Introduction to Fuzzy Edge Coloring

Authors

  • Kanzul Fathima K.S Jamal Mohamed College, Trichy-620020, Tamil Nadu
  • Jahir Hussain R Jamal Mohamed College, Trichy-620020, Tamil Nadu

DOI:

https://doi.org/10.24297/jam.v11i10.801

Keywords:

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.

Downloads

Download data is not yet available.

Author Biographies

Kanzul Fathima K.S, Jamal Mohamed College, Trichy-620020, Tamil Nadu

PG and Research Department of Mathematics

Jahir Hussain R, Jamal Mohamed College, Trichy-620020, Tamil Nadu

PG and Research Department of Mathematics

Downloads

Published

2016-01-28

How to Cite

K.S, K. F., & Hussain R, J. (2016). An Introduction to Fuzzy Edge Coloring. JOURNAL OF ADVANCES IN MATHEMATICS, 11(10), 5742–5748. https://doi.org/10.24297/jam.v11i10.801

Issue

Section

Articles