Tsukuba Journal of Mathematics

A Note on the Fusion of Two Vertices in a Fuzzy Graph

T. Lakshmi and P. V. Ramakrishnan

Full-text: Open access

Abstract

The concept of fuzzy sets was introduced by L. A. Zadeh in 1965. The concept of fuzzy graph was introduced by A. Rosenfeld [5] in 1975. Many of the crisp graph concepts have been extended to fuzzy graph theory. Here we define the fusion of two vertices in a fuzzy graph and investigate some properties and also give fusion algorithm for effective connectedness and for adjacency matrix.

Article information

Source
Tsukuba J. Math., Volume 32, Number 1 (2008), 155-164.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496165195

Digital Object Identifier
doi:10.21099/tkbjm/1496165195

Mathematical Reviews number (MathSciNet)
MR2433020

Zentralblatt MATH identifier
1166.05021

Citation

Ramakrishnan, P. V.; Lakshmi, T. A Note on the Fusion of Two Vertices in a Fuzzy Graph. Tsukuba J. Math. 32 (2008), no. 1, 155--164. doi:10.21099/tkbjm/1496165195. https://projecteuclid.org/euclid.tkbjm/1496165195


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