The minimal augmented Zagreb index of k-apex trees for k∈{1,2,3}

Kun Cheng, Muhuo Liu and Francesco Belardo

Applied Mathematics and Computation, 2021, vol. 402, issue C

Abstract: For a graph G containing no component isomorphic to the 2-vertex path graph, the augmented Zagreb index (AZI) of G is defined asAZI(G)=∑uv∈E(G)(d(u)d(v)d(u)+d(v)−2)3.This topological index has been proved to be closely correlated with the formation heat of heptanes and octanes. A k-apex tree is a connected graph G admitting a k-subset of vertices X such that G−X is a tree, but for any subset of vertices X′ of order less than k,G−X′ is not a tree. In this paper, we determine the minimum AZI among all k-apex trees for k∈{1,2,3}.

Keywords: Augmented Zagreb index; General atom-bond connectivity; Quasi-tree; Topological index (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001879

DOI: 10.1016/j.amc.2021.126139

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