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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 311-319, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00031.6 (Received on 29.02.2019 Revised on 30.05.2019 Accepted on 06.06.2019)

SOME RESULTS ON BIPOLAR FUZZY SELF CENTERED GRAPHS

S. Yahya Mohamed1,*, N. Subashini2
Author’s Affiliation : 1Assistant Professor, Department of Mathematics, Government Arts College, Tiruchirappalli, Tamil Nadu 620022, India. E-mail: [email protected] 2Assistant Professor, Department of Mathematics, Saranathan College of Engineering, Tiruchirappalli, Tamil Nadu 620012. E-mail: [email protected]

Corresponding Author : S. Yahya Mohamed, Assistant Professor, Department of Mathematics, Government Arts College, Tiruchirappalli, Tamil Nadu 620022, India. ,
E-Mail:-[email protected]


Abstract

The distance and related concepts like eccentricity, radius, diameter, center, periphery, etc. are already defined and used in many applications of graph theory. In this paper, we define a new distance called bipolar fuzzy distance in bipolar fuzzy graphs. Using this distance, we define the concepts of  bipolar fuzzy eccentricity, bipolar fuzzy center, etc. and  establish the relation between bipolar fuzzy radius and bipolar fuzzy diameter. Also the concept of self centered graphs is generalized to bipolar fuzzy self centered graphs and a necessary condition for a bipolar fuzzy graph to be a bipolar fuzzy self centered graph is obtained. The max-max and min-min composition of the bipolar fuzzy distance matrix is introduced, and we also present an easy check to see whether a given bipolar fuzzy graph is bipolar fuzzy self centered or not.

2010 Mathematics Subject Classification: 05C72.

Keywords

Bipolar fuzzy distance, Bipolar fuzzy eccentricity, Bipolar fuzzy center, Bipolar fuzzy radius, Bipolar fuzzy diameter and Bipolar fuzzy self center.
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