Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network
We propose a kind of evolving network which shows tree structure. The model is a combination of preferential attachment model and uniform model. We show that the proportional degree sequence pkk>1 obeys power law, exponential distribution, and other forms according to the relation of k and parame...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/761235 |
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| _version_ | 1832552564236746752 |
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| author | Zhimin Li Zhaolin He Chunhua Hu |
| author_facet | Zhimin Li Zhaolin He Chunhua Hu |
| author_sort | Zhimin Li |
| collection | DOAJ |
| description | We propose a kind of evolving network which shows tree structure. The model is a combination of preferential attachment model and uniform model. We show that the proportional degree sequence pkk>1 obeys power law, exponential distribution, and other forms according to the relation of k and parameter m. |
| format | Article |
| id | doaj-art-5a57f85d4f2c41e795d16f013dd5b24a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5a57f85d4f2c41e795d16f013dd5b24a2025-02-03T05:58:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/761235761235Asymptotic Degree Distribution of a Kind of Asymmetric Evolving NetworkZhimin Li0Zhaolin He1Chunhua Hu2School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaSchool of Management Engineering, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaSchool of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai, Guangdong 519087, ChinaWe propose a kind of evolving network which shows tree structure. The model is a combination of preferential attachment model and uniform model. We show that the proportional degree sequence pkk>1 obeys power law, exponential distribution, and other forms according to the relation of k and parameter m.http://dx.doi.org/10.1155/2014/761235 |
| spellingShingle | Zhimin Li Zhaolin He Chunhua Hu Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network Abstract and Applied Analysis |
| title | Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network |
| title_full | Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network |
| title_fullStr | Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network |
| title_full_unstemmed | Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network |
| title_short | Asymptotic Degree Distribution of a Kind of Asymmetric Evolving Network |
| title_sort | asymptotic degree distribution of a kind of asymmetric evolving network |
| url | http://dx.doi.org/10.1155/2014/761235 |
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