Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties
There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory. Based on the networks PECn, we first obtain the expected value expressions of the G...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2023/6675966 |
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| _version_ | 1832546695688224768 |
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| author | Jia-Bao Liu Qing Xie Jiao-Jiao Gu |
| author_facet | Jia-Bao Liu Qing Xie Jiao-Jiao Gu |
| author_sort | Jia-Bao Liu |
| collection | DOAJ |
| description | There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory. Based on the networks PECn, we first obtain the expected value expressions of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index, and additive degree-Kirchhoff index, and then, we get the explicit expression formulas of their variances. Finally, we find that their limiting distributions all have the probabilistic and statistical significance of normal distribution. |
| format | Article |
| id | doaj-art-c15a42e70faa41af9112836c342b1cf8 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c15a42e70faa41af9112836c342b1cf82025-02-03T06:47:30ZengWileyJournal of Function Spaces2314-88882023-01-01202310.1155/2023/6675966Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological PropertiesJia-Bao Liu0Qing Xie1Jiao-Jiao Gu2School of Mathematics and PhysicsSchool of Mathematics and PhysicsSchool of Mathematics and PhysicsThere has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory. Based on the networks PECn, we first obtain the expected value expressions of the Gutman index, Schultz index, multiplicative degree-Kirchhoff index, and additive degree-Kirchhoff index, and then, we get the explicit expression formulas of their variances. Finally, we find that their limiting distributions all have the probabilistic and statistical significance of normal distribution.http://dx.doi.org/10.1155/2023/6675966 |
| spellingShingle | Jia-Bao Liu Qing Xie Jiao-Jiao Gu Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties Journal of Function Spaces |
| title | Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties |
| title_full | Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties |
| title_fullStr | Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties |
| title_full_unstemmed | Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties |
| title_short | Statistical Analyses of a Class of Random Pentagonal Chain Networks with respect to Several Topological Properties |
| title_sort | statistical analyses of a class of random pentagonal chain networks with respect to several topological properties |
| url | http://dx.doi.org/10.1155/2023/6675966 |
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