VERTEX-ECCENTRICITY DESCRIPTORS IN DENDRIMERS

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Authors

Mahdieh AZARI
Ali IRANMANESH
Mircea V. DIUDEA

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STUDIA UBB CHEMIA. Published by Babeş-Bolyai University

Abstract

In this paper, we present graph theoretical methods to compute several vertex-eccentricity-based molecular descriptors such as the eccentric connectivity index, total eccentricity, average eccentricity and first and second Zagreb eccentricity indices for the generalized and ordinary Bethe trees and some dendrimer graphs. Also, we study the behavior of these descriptors under the rooted product of graphs and apply our results to compute these indices for some classes of molecular graphs, designed by attaching copies of ordinary Bethe trees to paths and cycles.

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STUDIA UBB CHEMIA, LXII, 1, 2017 (p. 129-142), DOI:10.24193/subbchem.2017.1.11 Mahdieh AZARI Department of Mathematics, Kazerun Branch, Islamic Azad University, Kazerun, Iran, azari@kau.ac.ir https://orcid.org/0000-0002-0919-0598 Ali IRANMANESH Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran, iranmanesh@modares.ac.ir https://orcid.org/0000-0003-2639-9454 Mircea V. DIUDEA Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babeș-Bolyai University, Cluj-Napoca, Romania, diudea@gmail.com https://orcid.org/0000-0003-2556-6329 * Corresponding authors: azari@kau.ac.ir, diudea@gmail.com

Citation

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