Strong Domination in Fuzzy Graphs

Abstract

In this paper, the concept of strong domination number is introduced by using membership values of strong arcs in fuzzy graphs. The strong domination number γs of complete fuzzy graph and complete bipartite fuzzy graph is determined and bounds is obtained for the strong domination number of fuzzy graphs. Also the relationship between the strong domination number of a fuzzy graph and that of its complement are discussed.

Keywords

• Fuzzy graph
• Strong arcs
• Weight of arcs
• Strong domination