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The general connectivity indices of fluoranthene-type benzenoid systems

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  • Li, Fengwei
  • Ye, Qingfang

Abstract

The general connectivity index Rα(G) of a graph G=(V,E) is defined as Rα(G)=∑(u,v)∈E(G)(dudv)α, where (u, v) is an edge of G, du and dv denote the degrees of the vertices u and v, respectively, and α ≠ 0 is an arbitrary real number. In this paper, we give the expressions for computing the general connectivity indices of fluoranthene-type benzenoid systems, and we determine the extremal values of Rα(G) in f-benzenoid systems with h hexagons for some real number α. Especially, the extremal values of Rα(G) in cata-catacondensed fluoranthene-type benzenoid systems with h hexagons were studied.

Suggested Citation

  • Li, Fengwei & Ye, Qingfang, 2016. "The general connectivity indices of fluoranthene-type benzenoid systems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 897-911.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:897-911
    DOI: 10.1016/j.amc.2015.10.050
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    References listed on IDEAS

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    1. Li, Fengwei & Ye, Qingfang, 2015. "Second order Randić index of fluoranthene-type benzenoid systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 534-546.
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    Cited by:

    1. Cui, Qing & Zhong, Lingping, 2017. "The general Randić index of trees with given number of pendent vertices," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 111-121.
    2. Li, Fengwei & Ye, Qingfang & Broersma, Hajo & Ye, Ruixuan & Zhang, Xiaoyan, 2021. "Extremality of VDB topological indices over f–benzenoids with given order," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    3. 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.

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    1. 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.

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