M-polynomial-based topological indices of metal-organic networks
Topological index (TI) is a numerical invariant that helps to understand the natural relationship of the physicochemical properties of a compound in its primary structure. George Polya introduced the idea of counting polynomials in chemical graph theory and Winer made the use of TI in chemical compo...
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2021
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oai:doaj.org-article:46e26ee0578845aa9cc116ad5afd75642021-12-05T14:10:55ZM-polynomial-based topological indices of metal-organic networks0792-12412191-021910.1515/mgmc-2021-0018https://doaj.org/article/46e26ee0578845aa9cc116ad5afd75642021-06-01T00:00:00Zhttps://doi.org/10.1515/mgmc-2021-0018https://doaj.org/toc/0792-1241https://doaj.org/toc/2191-0219Topological index (TI) is a numerical invariant that helps to understand the natural relationship of the physicochemical properties of a compound in its primary structure. George Polya introduced the idea of counting polynomials in chemical graph theory and Winer made the use of TI in chemical compounds working on the paraffin's boiling point. The literature of the topological indices and counting polynomials of different graphs has grown extremely since that time. Metal-organic network (MON) is a group of different chemical compounds that consist of metal ions and organic ligands to represent unique morphology, excellent chemical stability, large pore volume, and very high surface area. Working on structures, characteristics, and synthesis of various MONs show the importance of these networks with useful applications, such as sensing of different gases, assessment of chemicals, environmental hazard, heterogeneous catalysis, gas and energy storage devices of excellent material, conducting solids, super-capacitors and catalysis for the purification, and separation of different gases. The above-mentioned properties and physical stability of these MONs become a most discussed topic nowadays. In this paper, we calculate the M-polynomials and various TIs based on these polynomials for two different MONs. A comparison among the aforesaid topological indices is also included to represent the better one.Kashif AghaAftab SumairaJavaid MuhammadAwais Hafiz MuhammadDe Gruyterarticlem-polynomialchemical compoundstopological indicesmetal-organic networkChemistryQD1-999ENMain Group Metal Chemistry, Vol 44, Iss 1, Pp 129-140 (2021) |
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m-polynomial chemical compounds topological indices metal-organic network Chemistry QD1-999 |
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m-polynomial chemical compounds topological indices metal-organic network Chemistry QD1-999 Kashif Agha Aftab Sumaira Javaid Muhammad Awais Hafiz Muhammad M-polynomial-based topological indices of metal-organic networks |
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Topological index (TI) is a numerical invariant that helps to understand the natural relationship of the physicochemical properties of a compound in its primary structure. George Polya introduced the idea of counting polynomials in chemical graph theory and Winer made the use of TI in chemical compounds working on the paraffin's boiling point. The literature of the topological indices and counting polynomials of different graphs has grown extremely since that time. Metal-organic network (MON) is a group of different chemical compounds that consist of metal ions and organic ligands to represent unique morphology, excellent chemical stability, large pore volume, and very high surface area. Working on structures, characteristics, and synthesis of various MONs show the importance of these networks with useful applications, such as sensing of different gases, assessment of chemicals, environmental hazard, heterogeneous catalysis, gas and energy storage devices of excellent material, conducting solids, super-capacitors and catalysis for the purification, and separation of different gases. The above-mentioned properties and physical stability of these MONs become a most discussed topic nowadays. In this paper, we calculate the M-polynomials and various TIs based on these polynomials for two different MONs. A comparison among the aforesaid topological indices is also included to represent the better one. |
format |
article |
author |
Kashif Agha Aftab Sumaira Javaid Muhammad Awais Hafiz Muhammad |
author_facet |
Kashif Agha Aftab Sumaira Javaid Muhammad Awais Hafiz Muhammad |
author_sort |
Kashif Agha |
title |
M-polynomial-based topological indices of metal-organic networks |
title_short |
M-polynomial-based topological indices of metal-organic networks |
title_full |
M-polynomial-based topological indices of metal-organic networks |
title_fullStr |
M-polynomial-based topological indices of metal-organic networks |
title_full_unstemmed |
M-polynomial-based topological indices of metal-organic networks |
title_sort |
m-polynomial-based topological indices of metal-organic networks |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/46e26ee0578845aa9cc116ad5afd7564 |
work_keys_str_mv |
AT kashifagha mpolynomialbasedtopologicalindicesofmetalorganicnetworks AT aftabsumaira mpolynomialbasedtopologicalindicesofmetalorganicnetworks AT javaidmuhammad mpolynomialbasedtopologicalindicesofmetalorganicnetworks AT awaishafizmuhammad mpolynomialbasedtopologicalindicesofmetalorganicnetworks |
_version_ |
1718371599910961152 |