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Wiener Index of Edge Thorny Graphs of Catacondensed Benzenoids

Author

Listed:
  • Andrey A. Dobrynin

    (Laboratory of Topology and Dynamics, Novosibirsk State University, Novosibirsk 630090, Russia
    Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk 630090, Russia)

  • Ali Iranmanesh

    (Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box 14115-137, Tehran 14115-137, Iran)

Abstract

The Wiener index is a topological index of a molecular graph, defined as the sum of distances between all pairs of its vertices. Benzenoid graphs include molecular graphs of polycyclic aromatic hydrocarbons. An edge thorny graph G is constructed from a catacondensed benzenoid graph H by attaching new graphs to edges of a perfect matching of H . A formula for the Wiener index of G is derived. The index of the resulting graph does not contain distance characteristics of elements of H and depends on the Wiener index of H and distance properties of the attached graphs.

Suggested Citation

  • Andrey A. Dobrynin & Ali Iranmanesh, 2020. "Wiener Index of Edge Thorny Graphs of Catacondensed Benzenoids," Mathematics, MDPI, vol. 8(4), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:467-:d:337917
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