Some Results On The N —Fuzzy Domination in Fuzzy Graphs
Hayder Jasim Yousif, Ahmed Abed Ali Omran · Journal of Physics Conference Series · 2021
Abstract The purpose of this work is to introduce a new fuzzy domination parameter in fuzzy graphs Gf = (η, ρ) it is called a (N – fuzzy domination number) denoted by γN (Gf ). Some properties and boundaries of this definition are introduced. The N – fuzzy domination number of fuzzy certain graphs as fuzzy complete, path, star, cycle, complete bipartite, and star are determined. Additionally the relation between the N-degrees of the vertices and the number of edges and N-edges of a fuzzy graph is discussedgraph discussed, with some suitable graphs and examples are given.