Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks
Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya polynomials, Harary polynomials, Wiener index...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5877593 |
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| _version_ | 1832561398299754496 |
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| author | Tingmei Gao Iftikhar Ahmed |
| author_facet | Tingmei Gao Iftikhar Ahmed |
| author_sort | Tingmei Gao |
| collection | DOAJ |
| description | Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya polynomials, Harary polynomials, Wiener index, modified Wiener index, hyper-Wiener index, Harary index, generalized Harary index, and multiplicative Wiener index for hierarchical hypercube networks. Our results can help to understand topology of hierarchical hypercube networks and are useful to enhance the ability of these networks. Our results can also be used to solve integral equations. |
| format | Article |
| id | doaj-art-f4f34e20e3664a3698304b4869ffd816 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f4f34e20e3664a3698304b4869ffd8162025-02-03T01:25:15ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/58775935877593Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube NetworksTingmei Gao0Iftikhar Ahmed1School of Mathematical and Computer Science, Shaanxi University of Technology, Hanzhong 723000, ChinaDepartment of Mathematics, Riphah International University, Lahore Campus, Lahore 54000, PakistanTopological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya polynomials, Harary polynomials, Wiener index, modified Wiener index, hyper-Wiener index, Harary index, generalized Harary index, and multiplicative Wiener index for hierarchical hypercube networks. Our results can help to understand topology of hierarchical hypercube networks and are useful to enhance the ability of these networks. Our results can also be used to solve integral equations.http://dx.doi.org/10.1155/2021/5877593 |
| spellingShingle | Tingmei Gao Iftikhar Ahmed Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks Journal of Mathematics |
| title | Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks |
| title_full | Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks |
| title_fullStr | Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks |
| title_full_unstemmed | Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks |
| title_short | Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks |
| title_sort | distance based polynomials and topological indices for hierarchical hypercube networks |
| url | http://dx.doi.org/10.1155/2021/5877593 |
| work_keys_str_mv | AT tingmeigao distancebasedpolynomialsandtopologicalindicesforhierarchicalhypercubenetworks AT iftikharahmed distancebasedpolynomialsandtopologicalindicesforhierarchicalhypercubenetworks |