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Ordering chemical trees by Wiener polarity index

Author

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  • Ashrafi, Ali Reza
  • Ghalavand, Ali

Abstract

For a molecular graph G with vertex set V(G), the Wiener polarity index Wp(G) is the number of unordered pairs of vertices {u, v} such that dG(u,v)=3. In this paper, an ordering of chemical trees of order n with respect to Wiener polarity index is given.

Suggested Citation

  • Ashrafi, Ali Reza & Ghalavand, Ali, 2017. "Ordering chemical trees by Wiener polarity index," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 301-312.
    • Handle: RePEc:eee:apmaco:v:313:y:2017:i:c:p:301-312
    DOI: 10.1016/j.amc.2017.06.005
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    References listed on IDEAS

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    1. Hua, Hongbo & Das, Kinkar Ch., 2016. "On the Wiener polarity index of graphs," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 162-167.
    2. Zhang, Yanhong & Hu, Yumei, 2016. "The Nordhaus–Gaddum-type inequality for the Wiener polarity index," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 880-884.
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    Citations

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    Cited by:

    1. Ghalavand, Ali & Reza Ashrafi, Ali, 2018. "Ordering chemical graphs by Randić and sum-connectivity numbers," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 160-168.
    2. Noureen, Sadia & Bhatti, Akhlaq Ahmad & Ali, Akbar, 2021. "Towards the solution of an extremal problem concerning the Wiener polarity index of alkanes," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    3. Ali, Akbar & Du, Zhibin & Ali, Muhammad, 2018. "A note on chemical trees with minimum Wiener polarity index," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 231-236.

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