Advances in Fuzzy Mathematics
  • Year: 2008
  • Volume: 3
  • Issue: 1

On Domination in Fuzzy Graphs

  • Author:
  • D.A. Mojdeh, B. Ashrafi
  • Total Page Count: 10
  • Page Number: 1 to 10

Department of Mathematics, University of Mazandaran, Babolsar, IRI, P.O. Box 47416-1467.

AMS Subject Classification:

Abstract

Given two fuzzy graphs G1 = (σ1,μ1) and G2 = (σ2,μ2). We consider some parameters of domination such as dominating sets, connected dominating sets, total dominating sets, independent dominating sets and dominating cliques in Cartesian product and composition of G1 and G2. Then we introduce the concepts of categorical and strong product of G1 and G2 and study above parameters for them.

Keywords

Dominating set, cartesian product, categorical product, strong product, composition