Wiener Index of Edge Thorny Graphs of Catacondensed Benzenoids

Andrey A. Dobrynin and Ali Iranmanesh
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Andrey A. Dobrynin: Laboratory of Topology and Dynamics, Novosibirsk State University, Novosibirsk 630090, Russia
Ali Iranmanesh: Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box 14115-137, Tehran 14115-137, Iran

Mathematics, 2020, vol. 8, issue 4, 1-13

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.

Keywords: benzenoid graph; thorny graph; wiener index (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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