Molecular topological invariants of certain chemical networks

Topological descriptors are the graph invariants that are used to explore the molecular topology of the molecular/chemical graphs. In QSAR/QSPR research, physico-chemical characteristics and topological invariants including Randić, atom-bond connectivity, and geometric arithmetic invariants are util...

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Main Authors: Ul Haq Bokhary Syed Ahtsham, Imran Muhammad, Akhter Shehnaz, Manzoor Sadia
Format: Article
Language:English
Published: De Gruyter 2021-06-01
Series:Main Group Metal Chemistry
Subjects:
Online Access:https://doi.org/10.1515/mgmc-2021-0010
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author Ul Haq Bokhary Syed Ahtsham
Imran Muhammad
Akhter Shehnaz
Manzoor Sadia
author_facet Ul Haq Bokhary Syed Ahtsham
Imran Muhammad
Akhter Shehnaz
Manzoor Sadia
author_sort Ul Haq Bokhary Syed Ahtsham
collection DOAJ
description Topological descriptors are the graph invariants that are used to explore the molecular topology of the molecular/chemical graphs. In QSAR/QSPR research, physico-chemical characteristics and topological invariants including Randić, atom-bond connectivity, and geometric arithmetic invariants are utilized to corelate and estimate the structure relationship and bioactivity of certain chemical compounds. Graph theory and discrete mathematics have discovered an impressive utilization in the area of research. In this article, we investigate the valency-depended invariants for certain chemical networks like generalized Aztec diamonds and tetrahedral diamond lattice. Moreover, the exact values of invariants for these categories of chemical networks are derived.
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spelling doaj.art-4fc670544b2f4776af80373f276948c12022-12-21T21:28:33ZengDe GruyterMain Group Metal Chemistry0792-12412191-02192021-06-0144114114910.1515/mgmc-2021-0010Molecular topological invariants of certain chemical networksUl Haq Bokhary Syed Ahtsham0Imran Muhammad1Akhter Shehnaz2Manzoor Sadia3Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, P. O. Box 15551, Al Ain, United Arab EmiratesSchool of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, PakistanCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, PakistanTopological descriptors are the graph invariants that are used to explore the molecular topology of the molecular/chemical graphs. In QSAR/QSPR research, physico-chemical characteristics and topological invariants including Randić, atom-bond connectivity, and geometric arithmetic invariants are utilized to corelate and estimate the structure relationship and bioactivity of certain chemical compounds. Graph theory and discrete mathematics have discovered an impressive utilization in the area of research. In this article, we investigate the valency-depended invariants for certain chemical networks like generalized Aztec diamonds and tetrahedral diamond lattice. Moreover, the exact values of invariants for these categories of chemical networks are derived.https://doi.org/10.1515/mgmc-2021-0010atom-bond connectivit indexgeometric-arithmetic indexgeneralized aztec diamondtetrahedral diamond lattice
spellingShingle Ul Haq Bokhary Syed Ahtsham
Imran Muhammad
Akhter Shehnaz
Manzoor Sadia
Molecular topological invariants of certain chemical networks
Main Group Metal Chemistry
atom-bond connectivit index
geometric-arithmetic index
generalized aztec diamond
tetrahedral diamond lattice
title Molecular topological invariants of certain chemical networks
title_full Molecular topological invariants of certain chemical networks
title_fullStr Molecular topological invariants of certain chemical networks
title_full_unstemmed Molecular topological invariants of certain chemical networks
title_short Molecular topological invariants of certain chemical networks
title_sort molecular topological invariants of certain chemical networks
topic atom-bond connectivit index
geometric-arithmetic index
generalized aztec diamond
tetrahedral diamond lattice
url https://doi.org/10.1515/mgmc-2021-0010
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AT akhtershehnaz moleculartopologicalinvariantsofcertainchemicalnetworks
AT manzoorsadia moleculartopologicalinvariantsofcertainchemicalnetworks