The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains

Two famous topological indices, the Gutman index and Schultz index, are studied in this article. We mainly calculate the exact analytical formulae for the expected values of the Gutman index and Schultz index of a random regular polygonal chain with n regular polygons. Moreover, we determine the ave...

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Detalles Bibliográficos
Autores principales: Liu, Xinmei, Zhan, Qian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9610139/
https://www.ncbi.nlm.nih.gov/pubmed/36296429
http://dx.doi.org/10.3390/molecules27206838
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author Liu, Xinmei
Zhan, Qian
author_facet Liu, Xinmei
Zhan, Qian
author_sort Liu, Xinmei
collection PubMed
description Two famous topological indices, the Gutman index and Schultz index, are studied in this article. We mainly calculate the exact analytical formulae for the expected values of the Gutman index and Schultz index of a random regular polygonal chain with n regular polygons. Moreover, we determine the average values and the extremal values of the indices in regard to the set of all these regular polygonal chains.
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spelling pubmed-96101392022-10-28 The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains Liu, Xinmei Zhan, Qian Molecules Article Two famous topological indices, the Gutman index and Schultz index, are studied in this article. We mainly calculate the exact analytical formulae for the expected values of the Gutman index and Schultz index of a random regular polygonal chain with n regular polygons. Moreover, we determine the average values and the extremal values of the indices in regard to the set of all these regular polygonal chains. MDPI 2022-10-12 /pmc/articles/PMC9610139/ /pubmed/36296429 http://dx.doi.org/10.3390/molecules27206838 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Liu, Xinmei
Zhan, Qian
The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title_full The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title_fullStr The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title_full_unstemmed The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title_short The Expected Values for the Gutman Index and Schultz Index in the Random Regular Polygonal Chains
title_sort expected values for the gutman index and schultz index in the random regular polygonal chains
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9610139/
https://www.ncbi.nlm.nih.gov/pubmed/36296429
http://dx.doi.org/10.3390/molecules27206838
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