TY - JOUR
T1 - On the first Zagreb index of graphs with Self-Loops
AU - Shetty, Shashwath S.
AU - Bhat K, Arathi
N1 - Publisher Copyright:
© 2023 The Author(s). Published with license by Taylor & Francis Group, LLC.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85168129721
UR - https://www.scopus.com/pages/publications/85168129721#tab=citedBy
U2 - 10.1080/09728600.2023.2246515
DO - 10.1080/09728600.2023.2246515
M3 - Article
AN - SCOPUS:85168129721
SN - 0972-8600
VL - 20
SP - 326
EP - 331
JO - AKCE International Journal of Graphs and Combinatorics
JF - AKCE International Journal of Graphs and Combinatorics
IS - 3
ER -