Several Topological Indices of Two Kinds of Tetrahedral Networks
Tetrahedral network is considered as an effective tool to create the finite element network model of simulation, and many research studies have been investigated. The aim of this paper is to calculate several topological indices of the linear and circle tetrahedral networks. Firstly, the resistance...
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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/10.1155/2021/9800246 |
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| _version_ | 1849395627455152128 |
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| author | Jia-Bao Liu Lu-Lu Fang |
| author_facet | Jia-Bao Liu Lu-Lu Fang |
| author_sort | Jia-Bao Liu |
| collection | DOAJ |
| description | Tetrahedral network is considered as an effective tool to create the finite element network model of simulation, and many research studies have been investigated. The aim of this paper is to calculate several topological indices of the linear and circle tetrahedral networks. Firstly, the resistance distances of the linear tetrahedral network under different classifications have been calculated. Secondly, according to the above results, two kinds of degree-Kirchhoff indices of the linear tetrahedral network have been achieved. Finally, the exact expressions of Kemeny’s constant, Randic index, and Zagreb index of the linear tetrahedral network have been deduced. By using the same method, the topological indices of circle tetrahedral network have also been obtained. |
| format | Article |
| id | doaj-art-a9590930c77c4e2fbf4489d07f9d6b1b |
| 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-a9590930c77c4e2fbf4489d07f9d6b1b2025-08-20T03:39:32ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/98002469800246Several Topological Indices of Two Kinds of Tetrahedral NetworksJia-Bao Liu0Lu-Lu Fang1School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaTetrahedral network is considered as an effective tool to create the finite element network model of simulation, and many research studies have been investigated. The aim of this paper is to calculate several topological indices of the linear and circle tetrahedral networks. Firstly, the resistance distances of the linear tetrahedral network under different classifications have been calculated. Secondly, according to the above results, two kinds of degree-Kirchhoff indices of the linear tetrahedral network have been achieved. Finally, the exact expressions of Kemeny’s constant, Randic index, and Zagreb index of the linear tetrahedral network have been deduced. By using the same method, the topological indices of circle tetrahedral network have also been obtained.http://dx.doi.org/10.1155/2021/9800246 |
| spellingShingle | Jia-Bao Liu Lu-Lu Fang Several Topological Indices of Two Kinds of Tetrahedral Networks Journal of Mathematics |
| title | Several Topological Indices of Two Kinds of Tetrahedral Networks |
| title_full | Several Topological Indices of Two Kinds of Tetrahedral Networks |
| title_fullStr | Several Topological Indices of Two Kinds of Tetrahedral Networks |
| title_full_unstemmed | Several Topological Indices of Two Kinds of Tetrahedral Networks |
| title_short | Several Topological Indices of Two Kinds of Tetrahedral Networks |
| title_sort | several topological indices of two kinds of tetrahedral networks |
| url | http://dx.doi.org/10.1155/2021/9800246 |
| work_keys_str_mv | AT jiabaoliu severaltopologicalindicesoftwokindsoftetrahedralnetworks AT lulufang severaltopologicalindicesoftwokindsoftetrahedralnetworks |