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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 2 Article
Research Article

ON THE COMPLETE PRODUCT OF FUZZY GRAPHS

C
Ch. Chaitanya Department of Mathematics, Institute of Aeronautical Engineering, Dundigal, Hyderabad - 500043, Telangana, INDIA
T
T. V. Pradeep Kumar Department of Mathematics, Acharya Nagarjuna University, Guntur, (A. P.), INDIA
Volume 18, Issue 2 Pages 185-196 August 30, 2022 356 downloads
Article overview

Abstract

Strong fuzzy graph and complete fuzzy graph are two special kinds of fuzzy graphs in which each edge membership value equals the least of its vertex membership values incidental to the edge. In this research study, we obtain some interesting results on the complete product of a pair of strong fuzzy graphs as well as the complete product of a pair of complete fuzzy graphs. In precise, we prove that the complete product of two strong fuzzy graphs is again a strong fuzzy graph and the complete product of two complete fuzzy graphs is again a complete fuzzy graph. Also, we discuss the conditions under which the property of regularity will be mutually transmitted between the complete product of two fuzzy graphs and one of its factor fuzzy graphs.

Keywords and Phrases

Strong fuzzy graphComplete fuzzy graphRegularity of a fuzzy graphThe complete product of fuzzy graphs.

AMS Subject Classification

05C72, 05C76.

Reference information

How to Cite

Ch. Chaitanya, T. V. Pradeep Kumar (2022). ON THE COMPLETE PRODUCT OF FUZZY GRAPHS. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 185-196.
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