Atom-bond connectivity index of graphs

Kinkar Ch Das

doi:10.1016/j.dam.2010.03.006

Atom-bond connectivity index of graphs

Kinkar Ch Das

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

142 Scopus citations

Abstract

The recently introduced atom-bond connectivity (A B C) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al. (2009) [3] obtained extremal A B C values for chemical trees, and also, it has been shown that the star K_{1, n - 1}, has the maximal A B C value of trees. In this paper, we present the lower and upper bounds on A B C index of graphs and trees, and characterize graphs for which these bounds are best possible.

Original language	English
Pages (from-to)	1181-1188
Number of pages	8
Journal	Discrete Applied Mathematics
Volume	158
Issue number	11
DOIs	https://doi.org/10.1016/j.dam.2010.03.006
State	Published - 6 Jun 2010

Keywords

Atom-bond connectivity (A B C) index
Modified second Zagreb index
Molecular graph

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abstract = "The recently introduced atom-bond connectivity (A B C) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al. (2009) [3] obtained extremal A B C values for chemical trees, and also, it has been shown that the star K1, n - 1, has the maximal A B C value of trees. In this paper, we present the lower and upper bounds on A B C index of graphs and trees, and characterize graphs for which these bounds are best possible.",

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AB - The recently introduced atom-bond connectivity (A B C) index has been applied up until now to study the stability of alkanes and the strain energy of cycloalkanes. Furtula et al. (2009) [3] obtained extremal A B C values for chemical trees, and also, it has been shown that the star K1, n - 1, has the maximal A B C value of trees. In this paper, we present the lower and upper bounds on A B C index of graphs and trees, and characterize graphs for which these bounds are best possible.

KW - Atom-bond connectivity (A B C) index

KW - Modified second Zagreb index

KW - Molecular graph

UR - https://www.scopus.com/pages/publications/77951207364

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DO - 10.1016/j.dam.2010.03.006

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VL - 158

SP - 1181

EP - 1188

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

IS - 11

ER -

Atom-bond connectivity index of graphs

Abstract

Keywords

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