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...

Full description

Saved in:
Bibliographic Details
Main Authors: Young Chel Kwun, Ashaq Ali, Waqas Nazeer, Maqbool Ahmad Chaudhary, Shin Min Kang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Chemistry
Online Access:http://dx.doi.org/10.1155/2018/8213950
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832558984899330048
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
work_keys_str_mv AT youngchelkwun mpolynomialsanddegreebasedtopologicalindicesoftriangularhourglassandjaggedrectanglebenzenoidsystems
AT ashaqali mpolynomialsanddegreebasedtopologicalindicesoftriangularhourglassandjaggedrectanglebenzenoidsystems
AT waqasnazeer mpolynomialsanddegreebasedtopologicalindicesoftriangularhourglassandjaggedrectanglebenzenoidsystems
AT maqboolahmadchaudhary mpolynomialsanddegreebasedtopologicalindicesoftriangularhourglassandjaggedrectanglebenzenoidsystems
AT shinminkang mpolynomialsanddegreebasedtopologicalindicesoftriangularhourglassandjaggedrectanglebenzenoidsystems