On atom-bond connectivity molecule structure descriptors

Author:

Furtula Boris1ORCID,Gutman Ivan2,Das Kinkar3

Affiliation:

1. Faculty of Science, Kragujevac

2. Faculty of Science, Kragujevac + State University of Novi Pazar, Novi Pazar

3. Sungkyunkwan University, Department of Mathematics, Suwon, South Korea

Abstract

The atom-bond connectivity index (ABC) is a degree-based molecular structure descriptor with well-documented chemical applications. In 2010 a distance-based new variant of this index (ABCGG) has been proposed. Until now, the relation between ABC and ABCGG has not been analyzed. In this paper, we establish the basic characteristics of this relation. In particular, ABC and ABCGG are not correlated and both cases ABC > ABCGG and ABC < ABCGG may occur in the case of (structurally similar) molecules. However, in the case of benzenoid hydrocarbons, ABC always exceeds ABCGG.

Funder

Ministry of Education, Science and Technological Development of the Republic of Serbia

Publisher

National Library of Serbia

Subject

General Chemistry

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1. A Survey on Graovac–Ghorbani Index;Match Communications in Mathematical and in Computer Chemistry;2023-04

2. UM ESTUDO SOBRE O ÍNDICE DE CONECTIVIDADE DE LIGAÇÃO ATÔMICA EM GRAFOS QUÍMICOS;REVISTA FOCO;2023-01-20

3. Connected Graphs with Maximal Graovac-Ghorbani Index;Match Communications in Mathematical and in Computer Chemistry;2022-08

4. Atom–bond connectivity index of graphs: a review over extremal results and bounds;Discrete Mathematics Letters;2021-03-29

5. On the Graovac–Ghorbani index of graphs;Applied Mathematics and Computation;2016-02

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