Bounds for the augmented Zagreb index

Authors

Ren qingcuo, Qinghai Normal UniversityFollow
Li Wen, Qinghai Minzu UniversityFollow
Suonan Renqian, Qinghai Normal UniversityFollow
Yang Chenxu, Qinghai Normal UniversityFollow

Abstract

The augmented Zagreb index (AZI for short) of a graph G, introduced by Furtula et al. in 2010, is defined as AZI(G)= Σ v_iv_j ∈ E(G)} (d(v_i)d(v_j)} {d(v_i)+d(v_j)-2)³, where E(G) is the edge set of G, and d(v_i) denotes the degree of the vertex v_i. In this paper, we give some new bounds on general connected graphs, molecular trees and triangle-free graphs.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

qingcuo, Ren; Wen, Li; Renqian, Suonan; and Chenxu, Yang (2023) "Bounds for the augmented Zagreb index," Theory and Applications of Graphs: Vol. 10: Iss. 1, Article 10.
DOI: 10.20429/tag.2023.10110
Available at: https://digitalcommons.georgiasouthern.edu/tag/vol10/iss1/10