On the first Zagreb index of graphs with Self-Loops

Authors

Shashwath S. Shetty, Manipal Institute of Technology
Arathi Bhat K, Manipal Institute of Technology

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

Recommended Citation

Shetty, Shashwath S. and Bhat K, Arathi, "On the first Zagreb index of graphs with Self-Loops" (2023). Open Access archive. 8987.
https://impressions.manipal.edu/open-access-archive/8987