Mixed domination in an M-strong fuzzy graph

A. Mohamed Ismayila,* and S. Ismail Mohideenb

Mixed domination in an M-strong fuzzy graph

Authors :

A. Mohamed Ismayil^a,* and S. Ismail Mohideen^b

Author Address :

^a,bDepartment of Mathematics, Jamal Mohamed College, Tiruchirappalli–620 020,Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, mixed dominating set, mixed domination number , mixed strong domination number and mixed weak domination number of an M-strong fuzzy graph $G=(sigma, mu)$ are defined. Also these numbers are determined for various standard fuzzy graphs. The relationship between these numbers and other well known numbers are derived.

Keywords :

Fuzzy graph, M-strong fuzzy graph, mixed domination number, mixed strong domination number, mixed weak domination number.

DOI :

Article Info :

Received : January 21, 2015; Accepted : March 04, 2015.