On topological indices for new classes of Benes network
type: Item
instance of: scholarly article
title: On topological indices for new classes of Benes network
zbMATH Open document ID: 1477.05033
DOI: 10.1155/2021/6690053
author: Aftab Hussain
author: Muhammad Numan
author: Nafisa Naz
author: S. I. Butt
author: Adnan Aslam
author: Asfand Fahad
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: Topological indices (TIs) transform a molecular graph into a number. The TIs are a vital tool for quantitative structure activity relationship (QSAR) and quantity structure property relationship (QSPR). In this paper, we constructed two classes of Benes network: horizontal cylindrical Benes network \(\mathrm{HCB}(r)\) and vertical cylindrical Benes network obtained by identification of vertices of first rows with last row and first column with last column of Benes network, respectively. We derive analytical close formulas for general Randić connectivity index, general Zagreb, first and the second Zagreb (and multiplicative Zagreb), general sum connectivity, atom-bond connectivity \((\mathrm{VCB}(r))\), and geometric arithmetic (ABC) index of the two classes of Benes networks. Also, the fourth version of GA and the fifth version of ABC indices are computed for these classes of networks.
Mathematics Subject Classification ID: 05C09
Mathematics Subject Classification ID: 05C07
zbMATH DE Number: 7393949
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6690053
OpenAlex ID: W3123085008
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description: scientific article; zbMATH DE number 7393949