International Journal of Engineering, Science and Mathematics
  • Year: 2017
  • Volume: 6
  • Issue: 5

Self centeredness in intuitionistic fuzzy graph structure

  • Author:
  • P.K. Sharma1, Vandana Bansal2
  • Total Page Count: 11
  • Page Number: 124 to 134

1Associate Professor, P.G. Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India

2Corresponding Author, Associate Professor, RG College, Phagwara; RS, IKGPT University, Jalandhar, Punjab, India; bansalvandana@yahoo.com

2010 Mathematics Subject Classification: 03F55, 05C72, 05C12, 05C38, 05C40

Abstract

In this paper, we studied the self centered property of intuitionistic fuzzy graph structure. It is shown that every complete intuitionistic fuzzy graph structure is self centered but converse is not true. We also derived a necessary and sufficient condition for the intuitionistic fuzzy graph structure to be self centered. An embedding of the center of intuitionistic fuzzy graph structure into a connected self centered intuitionistic fuzzy graph structure is established.

Keywords

Intuitionistic fuzzy graph structure, self centre, radius, diameter, edge, path