Equitable edge domination in fuzzy graphs

C. Gurubaran 1 * and A. Prasanna 2

doi:10.26637/MJM0604/0002

Equitable edge domination in fuzzy graphs

Authors :

C. Gurubaran ^{1 *} and A. Prasanna ²

Author Address :

¹ Department of Mathematics, National College, Tiruchirappalli, Tamil Nadu, India.
² Department of Mathematics, Jamal Mohamed College, Tiruchirappalli, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we introduced equitable edge dominating set, equitable edge domination number of fuzzy graphs and also obtain some bounds for equitable edge domination number. Also give some necessary and sufficient conditions for the equitable edge dominating set. Further introduction to connected equitable edge dominating set, connected equitable edge domination number of fuzzy graphs and their some relations are discussed.

Keywords :

Strong neighbours, edge dominating set, edge domination number, equitable edge dominating set, equitable edge domination number.

DOI :

10.26637/MJM0604/0002

Article Info :

Received : June 24, 2018; Accepted : September 11, 2018.