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

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  • Ye, Qingfang
  • Li, Fengwei

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.

Suggested Citation

  • Ye, Qingfang & Li, Fengwei, 2026. "The minimum atom-bond sum-connectivity index of graphs with given degree sequence," Applied Mathematics and Computation, Elsevier, vol. 509(C).
    • Handle: RePEc:eee:apmaco:v:509:y:2026:i:c:s0096300325003935
    DOI: 10.1016/j.amc.2025.129667
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    References listed on IDEAS

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    1. Chen, Ya-Hong & Wang, Hua & Zhang, Xiao-Dong, 2017. "Note on extremal graphs with given matching number," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 149-156.
    2. Li, Fengwei & Broersma, Hajo & Rada, Juan & Sun, Yuefang, 2018. "Extremal benzenoid systems for two modified versions of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 14-24.
    3. Li, Fengwei & Ye, Qingfang, 2024. "Extremal graphs with given parameters in respect of general ABS index," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    4. Abeer M. Albalahi & Emina Milovanović & Akbar Ali, 2023. "General Atom-Bond Sum-Connectivity Index of Graphs," Mathematics, MDPI, vol. 11(11), pages 1-15, May.
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