IJPAM: Volume 48, No. 2 (2008)

STRONG AND SUPERSTRONG VERTICES IN
A FUZZY GRAPH

P.V. Ramakrishnan$^1$, T. Lakshmi$^2$
$^{1,2}$School of Mathematics
Madurai Kamaraj University
Madurai, 625 021, INDIA
$^{2}$e-mail: tlakshmi77@yahoo.co.in


Abstract.The concept of fuzzy sets was introduced by L.A Zadeh in 1965. The concept of fuzzy graph was introduced by A. Rosenfeld [#!rosen!#] in 1975. Many of the crisp graph concepts have been extended to fuzzy graph theory. Here we define the strong and superstrong vertices of a fuzzy graph and observe some of their properties.

Received: May 25, 2008

AMS Subject Classification: 44A40, 46A19

Key Words and Phrases: fuzzy graph, strong edge

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 2