Computation of Zagreb and atom–bond connectivity indices of certain families of dendrimers by using automorphism group action

Uzma Ahmad; Sarfraz Ahmad; Rabia Yousaf

doi:10.2298/JSC160718096A

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Published: Mar 6, 2017

DOI: https://doi.org/10.2298/JSC160718096A

Keywords:

graph automorphism orbits dendrimer graphs topological indices QSAR/QSPR wreath product.

Uzma Ahmad

Department of Mathematics, University of the Punjab, New Campus, Lahore

Sarfraz Ahmad

Department of Mathematics, COMSATS Institute of Information Technology, Lahore

Rabia Yousaf

Department of Mathematics, University of the Punjab, New Campus, Lahore

Abstract

In QSAR/QSPR studies, topological indices are utilized to predict the bioactivity of chemical compounds. In this paper, the closed forms of different Zagreb indices and atom–bond connectivity indices of regular dendrimers G[n] and H[n] in terms of a given parameter n are determined by using the automorphism group action. It was reported that these connectivity indices are correlated with some physicochemical properties and are used to measure the level of branching of the molecular carbon-atom skeleton.

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How to Cite

[1]

U. Ahmad, S. Ahmad, and R. Yousaf, “Computation of Zagreb and atom–bond connectivity indices of certain families of dendrimers by using automorphism group action”, J. Serb. Chem. Soc., vol. 82, no. 2, pp. 151–162, Mar. 2017.

Issue

Vol. 82 No. 2 (2017)

Section

Theoretical Chemistry

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution license 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

Uzma Ahmad, Department of Mathematics, University of the Punjab, New Campus, Lahore

Assistant Professor, Department of Mathematics

Sarfraz Ahmad, Department of Mathematics, COMSATS Institute of Information Technology, Lahore

Associate Professor, Department of Mathematics

Rabia Yousaf, Department of Mathematics, University of the Punjab, New Campus, Lahore

Student, Department of Mathematics

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