Extremal graphs with given parameters in respect of general ABS index

Fengwei Li and Qingfang Ye

Applied Mathematics and Computation, 2024, vol. 482, issue C

Abstract: For a graph G=(V,E), the general atom-bond sum-connectivity index is formulated by ABSσ(G)=∑ξζ∈E(G)(dξ+dζ−2dξ+dζ)σ, where dξ indicates the degree of vertex ξ∈V, σ can be arbitrary real number. Several physicochemical features of benzenoid hydrocarbons can be correctly anticipated using the ABSσ index. Researchers go through careful inspection of some ABSσ and reveal that ABS1, ABS−1, ABS12, ABS3 enjoy benefit in foreseeing the boiling point, the standard enthalpy of vaporization, the acentric factor, and the entropy of octane isomers, separately. One significant wellspring of information for exploring the molecular construction is the assessed worth of the reach for topological indices through certain predefined molecular graph parameters. The purpose of the present work is to find the highest values of the ABSσ index for σ≥0 in the set of graphs that were given certain predefined parameters, such as matching number, chromatic number, etc. Furthermore, illustrations of the relevant extremal graphs were provided.

Keywords: General ABS index; Graph parameter; Extremal graph; Topological index (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:482:y:2024:i:c:s0096300324004351

DOI: 10.1016/j.amc.2024.128974

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