Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks
Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6657298 |
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| _version_ | 1850170568548024320 |
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| author | Chengmei Fan M. Mobeen Munir Zafar Hussain Muhammad Athar Jia-Bao Liu |
| author_facet | Chengmei Fan M. Mobeen Munir Zafar Hussain Muhammad Athar Jia-Bao Liu |
| author_sort | Chengmei Fan |
| collection | DOAJ |
| description | Sierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M-polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks Skn and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α,β-Zagreb index and several other general indices of similar nature for this network. Our results are the natural generalizations of already available results for particular classes of such type of networks. |
| format | Article |
| id | doaj-art-9ddececbbb2f4c988ad477ebd0f125d9 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9ddececbbb2f4c988ad477ebd0f125d92025-08-20T02:20:27ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66572986657298Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski NetworksChengmei Fan0M. Mobeen Munir1Zafar Hussain2Muhammad Athar3Jia-Bao Liu4College of Modern Service Industry, Hefei College of Finance and Economics, Hefei 230601, ChinaDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics and Statistics, the University of Lahore, Lahore, PakistanDepartment of Mathematics, Division of Science and Technology, University of Education Lahore, Lahore, PakistanSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaSierpinski networks are networks of fractal nature having several applications in computer science, music, chemistry, and mathematics. These networks are commonly used in chaos, fractals, recursive sequences, and complex systems. In this article, we compute various connectivity polynomials such as M-polynomial, Zagreb polynomials, and forgotten polynomial of generalized Sierpinski networks Skn and recover some well-known degree-based topological indices from these. We also compute the most general Zagreb index known as α,β-Zagreb index and several other general indices of similar nature for this network. Our results are the natural generalizations of already available results for particular classes of such type of networks.http://dx.doi.org/10.1155/2021/6657298 |
| spellingShingle | Chengmei Fan M. Mobeen Munir Zafar Hussain Muhammad Athar Jia-Bao Liu Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks Complexity |
| title | Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks |
| title_full | Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks |
| title_fullStr | Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks |
| title_full_unstemmed | Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks |
| title_short | Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks |
| title_sort | polynomials and general degree based topological indices of generalized sierpinski networks |
| url | http://dx.doi.org/10.1155/2021/6657298 |
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