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The edge-Wiener index of zigzag nanotubes

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  • Wang, Guangfu
  • Liu, Yajing

Abstract

The edge-wiener Index of a connected graph G is defined asWe(G)=12∑e∈E(G)∑f∈E(G)d(e,f),where E(G) is the set of all edges of G and d(e, f) is the distance between the edges e and f of E(G). In this paper we find explicit closed formulae for the edge-Wiener index of zigzag nanotubes.

Suggested Citation

  • Wang, Guangfu & Liu, Yajing, 2020. "The edge-Wiener index of zigzag nanotubes," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301600
    DOI: 10.1016/j.amc.2020.125191
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    References listed on IDEAS

    as
    1. Sun, Qiang & Ikica, Barbara & Škrekovski, Riste & Vukašinović, Vida, 2019. "Graphs with a given diameter that maximise the Wiener index," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 438-448.
    2. Knor, Martin & Majstorović, Snježana & Škrekovski, Riste, 2018. "Graphs preserving Wiener index upon vertex removal," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 25-32.
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