Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In 1947, Harry Wiener introduced “path number” which is now known as Wiener index and is the oldest topological index related to molecular branc...

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Main Authors: Zhong-Lin Cheng, Ashaq Ali, Haseeb Ahmad, Asim Naseem, Maqbool Ahmad Chaudhary
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2020/5398109
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spelling doaj-6684499ccb424a36b53633c2779b451a2020-11-25T03:01:47ZengHindawi LimitedJournal of Chemistry2090-90632090-90712020-01-01202010.1155/2020/53981095398109Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid SystemsZhong-Lin Cheng0Ashaq Ali1Haseeb Ahmad2Asim Naseem3Maqbool Ahmad Chaudhary4Teaching Department of Public Basic Course, Anhui International Studies University, Hefei 231201, ChinaDepartment of Mathematics and Statistics, University of Lahore, Lahore 54000, PakistanDepartment of Mathematics, Lahore Leads University, Lahore, PakistanDepartment of Mathematics, Government College University, Lahore, PakistanDepartment of Mathematics and Statistics, University of Lahore, Lahore 54000, PakistanIn the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In 1947, Harry Wiener introduced “path number” which is now known as Wiener index and is the oldest topological index related to molecular branching. Hosoya polynomial plays a vital role in determining Wiener index. In this report, we compute the Hosoya polynomials for hourglass and rhombic benzenoid systems and recover Wiener and hyper-Wiener indices from them.http://dx.doi.org/10.1155/2020/5398109
collection DOAJ
language English
format Article
sources DOAJ
author Zhong-Lin Cheng
Ashaq Ali
Haseeb Ahmad
Asim Naseem
Maqbool Ahmad Chaudhary
spellingShingle Zhong-Lin Cheng
Ashaq Ali
Haseeb Ahmad
Asim Naseem
Maqbool Ahmad Chaudhary
Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
Journal of Chemistry
author_facet Zhong-Lin Cheng
Ashaq Ali
Haseeb Ahmad
Asim Naseem
Maqbool Ahmad Chaudhary
author_sort Zhong-Lin Cheng
title Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
title_short Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
title_full Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
title_fullStr Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
title_full_unstemmed Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
title_sort hosoya and harary polynomials of hourglass and rhombic benzenoid systems
publisher Hindawi Limited
series Journal of Chemistry
issn 2090-9063
2090-9071
publishDate 2020-01-01
description In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In 1947, Harry Wiener introduced “path number” which is now known as Wiener index and is the oldest topological index related to molecular branching. Hosoya polynomial plays a vital role in determining Wiener index. In this report, we compute the Hosoya polynomials for hourglass and rhombic benzenoid systems and recover Wiener and hyper-Wiener indices from them.
url http://dx.doi.org/10.1155/2020/5398109
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AT ashaqali hosoyaandhararypolynomialsofhourglassandrhombicbenzenoidsystems
AT haseebahmad hosoyaandhararypolynomialsofhourglassandrhombicbenzenoidsystems
AT asimnaseem hosoyaandhararypolynomialsofhourglassandrhombicbenzenoidsystems
AT maqboolahmadchaudhary hosoyaandhararypolynomialsofhourglassandrhombicbenzenoidsystems
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