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1996•Journal of Chemical Information and Computer SciencesRequires access

Topological Indices Based on the Line Graph of the Molecular Graph

İvan Gutman, Ernesto Estrada

Open publisher page 148 citations

Abstract

The topological index ε recently proposed by one of the authors [E. Estrada, J . Chem . Inf . Comput . Sci . 1995, 35, 31−33] is shown to be identical to the connectivity index of the line graph of the molecular graph. This observation makes it possible to conceive a whole class of novel, line-graph-based topological indices. The Wiener index provides an exception: in the case of acyclic molecules, the Wiener index of the molecular graph and the Weiner index of the line graph differ by a constant.

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What this paper is about

The topological index ε recently proposed by one of the authors [E. Estrada, J . Chem . Inf . Comput . Sci . 1995, 35, 31−33] is shown to be identical to the connectivity index of the line graph of the molecular graph. This observation makes it possible to conceive a whole class of novel, line-graph-based topological indices. The Wiener index provides an exception: in the case of acyclic molecules, the Wiener index of the molecular graph and the Weiner index of the line graph differ by a constant.

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OpenAlex reports 148 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The topological index ε recently proposed by one of the authors [E. Estrada, J . Chem . Inf . Comput . Sci . 1995, 35, 31−33] is shown to be identical to the connectivity index of the line graph of the molecular graph. This observation makes it possible to conceive a whole class of novel, line-graph-based topological indices. The Wiener index provides an exception: in the case of acyclic molecules, the Wiener index of the molecular graph and the Weiner index of the line graph differ by a constant.

Key concepts: Wiener index, Topological index, Line graph, Graph, Mathematics, Molecular graph, Combinatorics, Topological graph

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