Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy

Topological indices M<sub>1</sub>/M<sub>2</sub> known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph. These indices and their properties have been studied in detail under chemical graph theor...

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Bibliographic Details
Main Authors: Mahesh Kale, S. Minirani
Format: Article
Language:English
Published: Etamaths Publishing 2021-02-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2317
Description
Summary:Topological indices M<sub>1</sub>/M<sub>2</sub> known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph. These indices and their properties have been studied in detail under chemical graph theory. In this paper we introduce the concepts of first, second and hyper Zagreb indices of fuzzy graphs. We also study the Zagreb matrices and the associated Zagreb energies of fuzzy graphs. Some bounds for these energies are also obtained.
ISSN:2291-8639