On Direct Sum of Three Fuzzy Graphs


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Authors

  • T. Henson PG & Research Department of Mathematics, St.Joseph’s College of Arts and Science (Autonomous), Cuddalore, Tamilnadu, India
  • N. Devi PG & Research Department of Mathematics, St.Joseph’s College of Arts and Science (Autonomous), Cuddalore, Tamilnadu, India

Keywords:

Fuzzy graph, Direct sum, Degree of vertices in the direct sum, Regular fuzzy graph, Connected fuzzy graph, Effective fuzzy graph

Abstract

In this paper, the direct sum $G_1\oplus G_2\oplus G_3$ of three fuzzy graphs $G_1, G_2$ and $G_3$is defined. The degree of the vertices in $G_1\oplus G_2\oplus G_3$ is calculated. The regular property, connectedness and effectiveness on the direct sum of three fuzzy graphs are also discussed.

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Published

01-05-2018

How to Cite

T. Henson, & N. Devi. (2018). On Direct Sum of Three Fuzzy Graphs. International Journal of Mathematics And Its Applications, 6(1 (Special Issue), 213–219. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1415

Issue

Vol. 6 No. 1 (Special Issue) (2018)

Section

Research Article

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