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Extremality of VDB topological indices over f–benzenoids with given order

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  • Li, Fengwei
  • Ye, Qingfang
  • Broersma, Hajo
  • Ye, Ruixuan
  • Zhang, Xiaoyan

Abstract

In the theoretical chemistry, pharmacology and biology literature, numerous VDB topological indices were introduced to predict physio-chemical properties of chemical compounds. As a kind of polycyclic aromatic hydrocarbons, f–benzenoids are abundant in real substances such as coal tar, etc. It is valuable to study the attributes of f–benzenoids by virtue of topological indices. The main dedication of this paper is to obtain extremal values for VDB topological indices of f–benzenoids with a given order. Furthermore, the extremal f–benzenoids attaining these values are also characterized.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:393:y:2021:i:c:s0096300320307104
    DOI: 10.1016/j.amc.2020.125757
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    References listed on IDEAS

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    1. 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.
    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. Lan, Yongxin & Li, Tao & Ma, Yuede & Shi, Yongtang & Wang, Hua, 2018. "Vertex-based and edge-based centroids of graphs," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 445-456.
    4. Rada, Juan, 2017. "Vertex-degree-based topological indices of hexagonal systems with equal number of edges," Applied Mathematics and Computation, Elsevier, vol. 296(C), pages 270-276.
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