The minimum atom-bond sum-connectivity index of graphs with given degree sequence

Qingfang Ye and Fengwei Li

Applied Mathematics and Computation, 2026, vol. 509, issue C

Abstract: The atom-bond sum-connectivity (ABS) index of a graph G=(V,E) is described as the formula ABS(G)=∑ξζ∈E(G)d(ξ)+d(ζ)−2d(ξ)+d(ζ), where d(ξ) represents the degree of vertex ξ∈V. It is possible to forecast the heat of production of octane and heptane with accuracy by using the ABS index. This paper explores the structural properties of connected graphs with a particular degree sequence and the minimum ABS index. These findings are also applied to the characterization of extremal graphs having minimal ABS index among two types of graphs which are bicyclic or unicyclic with a specific degree sequence.

Keywords: ABS index; Graphic sequence; Breadth-first searching; BFS-graph; Unicyclic graph; Bicyclic graph (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:509:y:2026:i:c:s0096300325003935

DOI: 10.1016/j.amc.2025.129667

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