Edge Domination Number on Cartesian product of Simple Fuzzy Graphs

Authors

  • R. Muthuraj
  • A. Sasireka

DOI:

https://doi.org/10.37591/rrdms.v4i1.936

Abstract

Abstract

In 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 number

Cite this Article

Muthuraj 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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Published

2017-05-10

Issue

Vol. 4 No. 1 (2017)

Section

Research Articles

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