Augmented Zagreb index of trees and unicyclic graphs with perfect matchings

Xiaoling Sun, Yubin Gao, Jianwei Du and Lan Xu

Applied Mathematics and Computation, 2018, vol. 335, issue C, 75-81

Abstract: The augmented Zagreb index of a graph G, which is proven to be a valuable predictive index in the study of the heat of formation of octanes and heptanes, is defined as AZI(G)=∑uv∈E(G)(d(u)d(v)d(u)+d(v)−2)3, where E(G) is the edge set of G, d(u) and d(v) are the degrees of the terminal vertices u and v of edge uv. In this paper, the lower bounds on augmented Zagreb index of trees and unicyclic graphs with perfect matchings are presented, and the corresponding extremal trees and uinicyclic graphs with perfect matchings are characterized.

Keywords: Augmented Zagreb index; Tree; Unicyclic graph; Perfect matching (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:335:y:2018:i:c:p:75-81

DOI: 10.1016/j.amc.2018.04.039

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