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General sum-connectivity index of a graph and its line graph

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  • Chen, Xiaohong

Abstract

For a real number β, the general sum-connectivity index χβ(G) of a graph G is defined as ∑xy∈E(G)(d(x)+d(y))β, where d(x) denote the degree of a vertex x in G. In this paper, we show that for every graph G≇Pn, if β≥0, then

Suggested Citation

  • Chen, Xiaohong, 2023. "General sum-connectivity index of a graph and its line graph," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008475
    DOI: 10.1016/j.amc.2022.127779
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    References listed on IDEAS

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    1. Su, Guifu & Xu, Lan, 2015. "Topological indices of the line graph of subdivision graphs and their Schur-bounds," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 395-401.
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    Cited by:

    1. Du, Jianwei & Sun, Xiaoling, 2024. "On bond incident degree index of chemical trees with a fixed order and a fixed number of leaves," Applied Mathematics and Computation, Elsevier, vol. 464(C).

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