On fourth leap Zagreb index of graphs

Author:

Alsinai Ammar1ORCID,Saleh Anwar2,Ahmed Hanan3,Mishra Lakshmi Narayan4,Soner N. D.1

Affiliation:

1. Department of Mathematics, University of Mysore, Mysuru 570006, India

2. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

3. Department of Mathematics, Yuvarajas College, University of Mysore, Mysuru 570005, India

4. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632014, Tamil Nadu, India

Abstract

In this research work, we introduce a new version of leap Zagreb index called fourth leap Zagreb index. Mathematical properties and exact values for some standard classes of graphs for this new topological index are obtained. Also, the upper bounds are established. The values of this index for some graph operations containing the Cartesian product, Join and Composition are found.

Funder

UGC-SAP-DRS-11

Publisher

World Scientific Pub Co Pte Ltd

Subject

Discrete Mathematics and Combinatorics

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