Topological Properties of Sierpinski Network and its Application / Juanyan Fang, Muhammad Rafiullah, Hafiz Muhammad Afzal Siddiqui
Background: Sierpinski graphs S(n, k) are largely studied because of their fractalnature with applications in topology, chemistry, mathematics of Tower of Hanoi and computersciences. Applications of molecular structure descriptors are a standard procedure which are usedto correlate the biological activity of molecules with their chemical structures, and thus can behelpful in the field of pharmacology. Objective: The aim of this article is to establish analytically closed computing formulae foreccentricity-based descriptors of Sierpinski networks and their regularizations. These computingformulae are useful to determine a large number of properties like thermodynamic properties,physicochemical properties, chemical and biological activity of chemical graphs Methods: At first, vertex sets have been partitioned on the basis of their degrees, eccentricities andfrequencies of occurrence. Then these partitions are used to compute the eccentricity-based indiceswith the aid of some combinatorics. Results: The total eccentric index and eccentric-connectivity index have been computed. We alsocompute some eccentricity-based Zagreb indices of the Sierpinski networks. Moreover, acomparison has also been presented in the form of graphs. Conclusion: These computations will help the readers to estimate the thermodynamic propertiesand physicochemical properties of chemical structure which are of fractal nature and can not bedealt with easily. A 3D graphical representation is also presented to understand the dynamics of theaforementioned topological descriptors.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2022 |
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| Erschienen: |
2022 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:25 |
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| Enthalten in: |
Combinatorial chemistry & high throughput screening - 25(2022), 3, Seite 11 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Fang, Juanyan [VerfasserIn] |
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| Links: |
FID Access [lizenzpflichtig] |
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| Umfang: |
1 Online-Ressource (11 p) |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
KFL011158492 |
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| 100 | 1 | |a Fang, Juanyan |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Topological Properties of Sierpinski Network and its Application |c Juanyan Fang, Muhammad Rafiullah, Hafiz Muhammad Afzal Siddiqui |
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| 520 | |a Background: Sierpinski graphs S(n, k) are largely studied because of their fractalnature with applications in topology, chemistry, mathematics of Tower of Hanoi and computersciences. Applications of molecular structure descriptors are a standard procedure which are usedto correlate the biological activity of molecules with their chemical structures, and thus can behelpful in the field of pharmacology. Objective: The aim of this article is to establish analytically closed computing formulae foreccentricity-based descriptors of Sierpinski networks and their regularizations. These computingformulae are useful to determine a large number of properties like thermodynamic properties,physicochemical properties, chemical and biological activity of chemical graphs Methods: At first, vertex sets have been partitioned on the basis of their degrees, eccentricities andfrequencies of occurrence. Then these partitions are used to compute the eccentricity-based indiceswith the aid of some combinatorics. Results: The total eccentric index and eccentric-connectivity index have been computed. We alsocompute some eccentricity-based Zagreb indices of the Sierpinski networks. Moreover, acomparison has also been presented in the form of graphs. Conclusion: These computations will help the readers to estimate the thermodynamic propertiesand physicochemical properties of chemical structure which are of fractal nature and can not bedealt with easily. A 3D graphical representation is also presented to understand the dynamics of theaforementioned topological descriptors | ||
| 700 | 1 | |a Rafiullah, Muhammad |e verfasserin |4 aut | |
| 700 | 1 | |a Siddiqui, Hafiz Muhammad Afzal |e verfasserin |4 aut | |
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