Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains

The atom-bond connectivity (ABC) index and geometric–arithmetic (GA) index are two well-studied topological indices, which are useful tools in QSPR and QSAR investigations. In this paper, we first obtain explicit formulae for the expected values of ABC and GA indices in random spiro chains, which ar...

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Detalles Bibliográficos
Autores principales: Wei, Shouliu, Ke, Xiaoling, Hao, Guoliang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816776/
https://www.ncbi.nlm.nih.gov/pubmed/29497265
http://dx.doi.org/10.1186/s13660-018-1628-8
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author Wei, Shouliu
Ke, Xiaoling
Hao, Guoliang
author_facet Wei, Shouliu
Ke, Xiaoling
Hao, Guoliang
author_sort Wei, Shouliu
collection PubMed
description The atom-bond connectivity (ABC) index and geometric–arithmetic (GA) index are two well-studied topological indices, which are useful tools in QSPR and QSAR investigations. In this paper, we first obtain explicit formulae for the expected values of ABC and GA indices in random spiro chains, which are graphs of a class of unbranched polycyclic aromatic hydrocarbons. Based on these formulae, we then present the average values of ABC and GA indices with respect to the set of all spiro chains with n hexagons and make a comparison between the expected values of ABC and GA indices in random spiro chains.
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spelling pubmed-58167762018-02-27 Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains Wei, Shouliu Ke, Xiaoling Hao, Guoliang J Inequal Appl Research The atom-bond connectivity (ABC) index and geometric–arithmetic (GA) index are two well-studied topological indices, which are useful tools in QSPR and QSAR investigations. In this paper, we first obtain explicit formulae for the expected values of ABC and GA indices in random spiro chains, which are graphs of a class of unbranched polycyclic aromatic hydrocarbons. Based on these formulae, we then present the average values of ABC and GA indices with respect to the set of all spiro chains with n hexagons and make a comparison between the expected values of ABC and GA indices in random spiro chains. Springer International Publishing 2018-02-17 2018 /pmc/articles/PMC5816776/ /pubmed/29497265 http://dx.doi.org/10.1186/s13660-018-1628-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wei, Shouliu
Ke, Xiaoling
Hao, Guoliang
Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title_full Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title_fullStr Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title_full_unstemmed Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title_short Comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
title_sort comparing the excepted values of atom-bond connectivity and geometric–arithmetic indices in random spiro chains
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816776/
https://www.ncbi.nlm.nih.gov/pubmed/29497265
http://dx.doi.org/10.1186/s13660-018-1628-8
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AT kexiaoling comparingtheexceptedvaluesofatombondconnectivityandgeometricarithmeticindicesinrandomspirochains
AT haoguoliang comparingtheexceptedvaluesofatombondconnectivityandgeometricarithmeticindicesinrandomspirochains

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