Divisor equitable domination in fuzzy graphs

Abstract

The dominance of graph theory in a number of domains, including coding theory, facility location issues, biological network modelling and bus routing, has been credited with a wide range of applications. Finding the right group of representatives challenges, maintaining communication and electricity networks and land surveying all involve concepts from dominance. Hence, in this article, we introduced divisor equitable dominating sets in fuzzy graphs. We defined divisor equitable domination number and divisor minimal equitable dominating set. We also discussed the characterizations of minimal divisor equitable dominating sets. Further we studied the relation between divisor equitable independent sets and minimal divisor equitable dominating sets.