M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network

The representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices. These results are used to correlate the chemical compounds and chemical networks with their chemical properties and bioactivities. In th...

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Main Authors: Hong Yang, A. Q. Baig, W. Khalid, Mohammad Reza Farahani, Xiujun Zhang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2019/7297253
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author Hong Yang
A. Q. Baig
W. Khalid
Mohammad Reza Farahani
Xiujun Zhang
author_facet Hong Yang
A. Q. Baig
W. Khalid
Mohammad Reza Farahani
Xiujun Zhang
author_sort Hong Yang
collection DOAJ
description The representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices. These results are used to correlate the chemical compounds and chemical networks with their chemical properties and bioactivities. In this article, particular attention will be put on the derivation of M-polynomial for the benzene ring embedded in the P-type surface network in 2D. Furthermore, the topological indices based on the degrees are also derived by using the general form of M-polynomial of the benzene ring embedded in the P-type surface network BRm,n. In the end, the graphical representation and comparison of the M-polynomial and the topological indices of the benzene ring embedded in the P-type surface network in 2D are described.
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institution Kabale University
issn 2090-9063
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publishDate 2019-01-01
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series Journal of Chemistry
spelling doaj-art-1236faf2361640c3b724c6bdf9b0bd132025-02-03T06:08:27ZengWileyJournal of Chemistry2090-90632090-90712019-01-01201910.1155/2019/72972537297253M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface NetworkHong Yang0A. Q. Baig1W. Khalid2Mohammad Reza Farahani3Xiujun Zhang4Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, ChinaDepartment of Mathematics, COMSATS Institute of Information Technology, Attock Campus, Islamabad, PakistanPunjab College of Commerce and Science, Attock Campus, Lahore, PakistanDepartment of Applied Mathematics, Iran University of Science and Technology (IUST) Narmak, 16844 Tehran, IranKey Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, ChinaThe representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices. These results are used to correlate the chemical compounds and chemical networks with their chemical properties and bioactivities. In this article, particular attention will be put on the derivation of M-polynomial for the benzene ring embedded in the P-type surface network in 2D. Furthermore, the topological indices based on the degrees are also derived by using the general form of M-polynomial of the benzene ring embedded in the P-type surface network BRm,n. In the end, the graphical representation and comparison of the M-polynomial and the topological indices of the benzene ring embedded in the P-type surface network in 2D are described.http://dx.doi.org/10.1155/2019/7297253
spellingShingle Hong Yang
A. Q. Baig
W. Khalid
Mohammad Reza Farahani
Xiujun Zhang
M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
Journal of Chemistry
title M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
title_full M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
title_fullStr M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
title_full_unstemmed M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
title_short M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
title_sort m polynomial and topological indices of benzene ring embedded in p type surface network
url http://dx.doi.org/10.1155/2019/7297253
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