Eccentricity-based topological indices of a cyclic octahedron structure
type: Item
instance of: scholarly article
title: Eccentricity-based topological indices of a cyclic octahedron structure
zbMATH Open document ID: 1401.05076
author: Y. Aharonov
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: In this article, we study the chemical graph of a cyclic octahedron structure of dimension \(n\) and compute the eccentric connectivity polynomial, the eccentric connectivity index, the total eccentricity, the average eccentricity, the first Zagreb index, the second Zagreb index, the third Zagreb index, the atom bond connectivity index and the geometric arithmetic index of the cyclic octahedron structure. Furthermore, we give the analytically closed formulas of these indices which are helpful for studying the underlying topologies.
Mathematics Subject Classification ID: 05C07
Mathematics Subject Classification ID: 05C31
Mathematics Subject Classification ID: 05C40
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 6994650
zbMATH Keywords: molecular graph
zbMATH Keywords: eccentric connectivity polynomial
zbMATH Keywords: eccentric connectivity index
zbMATH Keywords: total eccentricity
zbMATH Keywords: average eccentricity
zbMATH Keywords: first Zagreb index
zbMATH Keywords: second Zagreb index
zbMATH Keywords: third Zagreb index
zbMATH Keywords: atom bond connectivity index
zbMATH Keywords: geometric arithmetic index
zbMATH Keywords: cyclic octahedron structure
describes a project that uses: AutoGraphiX
MaRDI profile type: Publication
full work available at URL: math6080141
OpenAlex ID: W2886145147
cites work: Computation of topological indices of certain networks
cites work: Graphs S(n, k) and a Variant of the Tower of Hanoi Problem
cites work: The average eccentricity of Sierpiński graphs
cites work: On the extremal properties of the average eccentricity
cites work: Q5492533
cites work: Variable neighborhood search for extremal graphs. I: The AutoGraphiX system
cites work: Q4826169
cites work: On average eccentricity
cites work: Q4692391
cites work: A new version of Zagreb indices
Wikidata QID: Q129337843
DOI: 10.3390/MATH6080141
description: scientific article; zbMATH DE number 6994650