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June 2008 A Note on the Fusion of Two Vertices in a Fuzzy Graph
T. Lakshmi, P. V. Ramakrishnan
Tsukuba J. Math. 32(1): 155-164 (June 2008). DOI: 10.21099/tkbjm/1496165195

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.

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T. Lakshmi. P. V. Ramakrishnan. "A Note on the Fusion of Two Vertices in a Fuzzy Graph." Tsukuba J. Math. 32 (1) 155 - 164, June 2008. https://doi.org/10.21099/tkbjm/1496165195

Information

Published: June 2008
First available in Project Euclid: 30 May 2017

zbMATH: 1166.05021
MathSciNet: MR2433020
Digital Object Identifier: 10.21099/tkbjm/1496165195

Rights: Copyright © 2008 University of Tsukuba, Institute of Mathematics

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Vol.32 • No. 1 • June 2008
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