M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems
Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. The study of topological indices is currently one of the most active research fields in chemical graph theory. Topological indices help to predict many chemical and...
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Wiley
2018-01-01
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Series: | Journal of Chemistry |
Online Access: | http://dx.doi.org/10.1155/2018/8213950 |
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author | Young Chel Kwun Ashaq Ali Waqas Nazeer Maqbool Ahmad Chaudhary Shin Min Kang |
author_facet | Young Chel Kwun Ashaq Ali Waqas Nazeer Maqbool Ahmad Chaudhary Shin Min Kang |
author_sort | Young Chel Kwun |
collection | DOAJ |
description | Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. The study of topological indices is currently one of the most active research fields in chemical graph theory. Topological indices help to predict many chemical and biological properties of chemical structures under study. The aim of this report is to study the molecular topology of some benzenoid systems. M-polynomial has wealth of information about the degree-based topological indices. We compute M-polynomials for triangular, hourglass, and jagged-rectangle benzenoid systems, and from these M-polynomials, we recover nine degree-based topological indices. Our results play a vital role in pharmacy, drug design, and many other applied areas. |
format | Article |
id | doaj-art-20496ce86e414faa9e2db72b05454788 |
institution | Kabale University |
issn | 2090-9063 2090-9071 |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Chemistry |
spelling | doaj-art-20496ce86e414faa9e2db72b054547882025-02-03T01:31:01ZengWileyJournal of Chemistry2090-90632090-90712018-01-01201810.1155/2018/82139508213950M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid SystemsYoung Chel Kwun0Ashaq Ali1Waqas Nazeer2Maqbool Ahmad Chaudhary3Shin Min Kang4Department of Mathematics, Dong-A University, Busan 49315, Republic of KoreaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Republic of KoreaChemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. The study of topological indices is currently one of the most active research fields in chemical graph theory. Topological indices help to predict many chemical and biological properties of chemical structures under study. The aim of this report is to study the molecular topology of some benzenoid systems. M-polynomial has wealth of information about the degree-based topological indices. We compute M-polynomials for triangular, hourglass, and jagged-rectangle benzenoid systems, and from these M-polynomials, we recover nine degree-based topological indices. Our results play a vital role in pharmacy, drug design, and many other applied areas.http://dx.doi.org/10.1155/2018/8213950 |
spellingShingle | Young Chel Kwun Ashaq Ali Waqas Nazeer Maqbool Ahmad Chaudhary Shin Min Kang M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems Journal of Chemistry |
title | M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems |
title_full | M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems |
title_fullStr | M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems |
title_full_unstemmed | M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems |
title_short | M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems |
title_sort | m polynomials and degree based topological indices of triangular hourglass and jagged rectangle benzenoid systems |
url | http://dx.doi.org/10.1155/2018/8213950 |
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