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Research & Reviews: Discrete Mathematical Structures

Edge Domination Number on Cartesian product of Simple Fuzzy Graphs

  1. R. Muthuraj
  2. A. Sasireka

Abstract

AbstractIn this paper, we define the concept of edge domination number on Cartesian product of simple fuzzy graphs (G&H). Some results and bounds on edge domination number are derived in fuzzy graph (G×H). We prove some theorems that relate the parameters g(G×H), gcd(G×H) and g¢(G×H). Finally, the relationship between the fuzzy dominator chromatic number and edge domination number on Cartesian product of simple fuzzy graphs are discussed.Keywords: Dominating set, edge dominating set, Cartesian product of fuzzy graphs, connected dominating set, fuzzy dominator chromatic numberCite this ArticleMuthuraj R, Sasireka A. Edge Domination Number on Cartesian Product of Simple Fuzzy Graphs. Research & Reviews: Discrete Mathematical Structures. 2017; 4(1):   8–17p.
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