Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems

Molecular topology is a key to determine the physiochemical aspects of the molecular structure. To determine the degree of irregularity of a certain molecular structure or a network has been a key source of interest for the molecular topologists as it provides an insight of the key features that are...

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Main Authors: Hussain Zafar, Yang Yujun, Munir Mobeen, Hussain Zahid, Athar Muhammad, Ahmed Ali, Ahmad Haseeb
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2020-0194
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author Hussain Zafar
Yang Yujun
Munir Mobeen
Hussain Zahid
Athar Muhammad
Ahmed Ali
Ahmad Haseeb
author_facet Hussain Zafar
Yang Yujun
Munir Mobeen
Hussain Zahid
Athar Muhammad
Ahmed Ali
Ahmad Haseeb
author_sort Hussain Zafar
collection DOAJ
description Molecular topology is a key to determine the physiochemical aspects of the molecular structure. To determine the degree of irregularity of a certain molecular structure or a network has been a key source of interest for the molecular topologists as it provides an insight of the key features that are used to guess the properties of the structures. In this article, we are interested in formulating closed forms of irregularity measures of some popular benzenoid systems, namely, zigzag, rhombic, and honeycomb benzenoid systems. We also compared our results graphically and concluded that benzenoid system among above is more asymmetric than the others.
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spelling doaj.art-fecb12d7b7d64cf3b5bd1c9987a517622022-12-21T22:00:30ZengDe GruyterOpen Physics2391-54712020-12-011811146115310.1515/phys-2020-0194phys-2020-0194Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systemsHussain Zafar0Yang Yujun1Munir Mobeen2Hussain Zahid3Athar Muhammad4Ahmed Ali5Ahmad Haseeb6Department of Mathematics, The University of Lahore, Lahore 54500, PakistanSchool of Mathematics and Information Sciences, Yantai University, Yantai 264005, People’s Republic of ChinaDepartment of Mathematics, University of the Punjab, New Campus Lahore 54590, PakistanDepartment of Mathematics, The University of Lahore, Lahore 54500, PakistanDepartment of Mathematics, Division of Science and Technology, University of the Education, Lahore, PakistanDepartment of Mathematics, The University of Lahore, Lahore 54500, PakistanDepartment of Mathematics, Division of Science and Technology, University of the Education, Lahore, PakistanMolecular topology is a key to determine the physiochemical aspects of the molecular structure. To determine the degree of irregularity of a certain molecular structure or a network has been a key source of interest for the molecular topologists as it provides an insight of the key features that are used to guess the properties of the structures. In this article, we are interested in formulating closed forms of irregularity measures of some popular benzenoid systems, namely, zigzag, rhombic, and honeycomb benzenoid systems. We also compared our results graphically and concluded that benzenoid system among above is more asymmetric than the others.https://doi.org/10.1515/phys-2020-0194benzenoid systemirregularity measurecomplexity of structurezigzag benzenoid systemrhombic benzenoid systemhoneycomb benzenoid system
spellingShingle Hussain Zafar
Yang Yujun
Munir Mobeen
Hussain Zahid
Athar Muhammad
Ahmed Ali
Ahmad Haseeb
Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
Open Physics
benzenoid system
irregularity measure
complexity of structure
zigzag benzenoid system
rhombic benzenoid system
honeycomb benzenoid system
title Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
title_full Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
title_fullStr Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
title_full_unstemmed Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
title_short Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems
title_sort analysis of irregularity measures of zigzag rhombic and honeycomb benzenoid systems
topic benzenoid system
irregularity measure
complexity of structure
zigzag benzenoid system
rhombic benzenoid system
honeycomb benzenoid system
url https://doi.org/10.1515/phys-2020-0194
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AT hussainzahid analysisofirregularitymeasuresofzigzagrhombicandhoneycombbenzenoidsystems
AT atharmuhammad analysisofirregularitymeasuresofzigzagrhombicandhoneycombbenzenoidsystems
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