On the first Zagreb index of graphs with Self-Loops

Document Type

Article

Publication Title

AKCE International Journal of Graphs and Combinatorics

Abstract

Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. The first Zagreb index (Formula presented.) of a graph G is defined as the sum of squares of the degrees of the vertices. Let (Formula presented.) and let (Formula presented.) be the graph obtained from the simple graph G, by attaching a self-loop to each of its vertices belonging to X. In this article, some sharp bounds for the first Zagreb index of graphs with self-loops using various parameters has been put forward.

First Page

326

Last Page

331

DOI

10.1080/09728600.2023.2246515

Publication Date

1-1-2023

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