The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices
We consider an inhomogeneous growing network with two types of vertices. The degree sequences of two different types of vertices are investigated, respectively. We not only prove that the asymptotical degree distribution of type s for this process is power law with exponent 2+1+δqs+β1-qs/αqs, but al...
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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/10.1155/2014/402821 |
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| author | Huilin Huang |
| author_facet | Huilin Huang |
| author_sort | Huilin Huang |
| collection | DOAJ |
| description | We consider an inhomogeneous growing network with two types of vertices. The degree sequences of two different types of vertices are investigated, respectively. We not only prove that the asymptotical degree distribution of type s for this process is power law with exponent 2+1+δqs+β1-qs/αqs, but also give the strong law of large numbers for degree sequences of two different types of vertices by using a different method instead of Azuma’s inequality. Then we determine asymptotically the joint probability distribution of degree for pairs of adjacent vertices with the same type and with different types, respectively. |
| format | Article |
| id | doaj-art-9b27867185cf45f8a354dc5bb23d67b5 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9b27867185cf45f8a354dc5bb23d67b52025-08-20T02:20:25ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/402821402821The Degree Analysis of an Inhomogeneous Growing Network with Two Types of VerticesHuilin Huang0College of Mathematics and Information Science, Wenzhou University, Zhejiang 325035, ChinaWe consider an inhomogeneous growing network with two types of vertices. The degree sequences of two different types of vertices are investigated, respectively. We not only prove that the asymptotical degree distribution of type s for this process is power law with exponent 2+1+δqs+β1-qs/αqs, but also give the strong law of large numbers for degree sequences of two different types of vertices by using a different method instead of Azuma’s inequality. Then we determine asymptotically the joint probability distribution of degree for pairs of adjacent vertices with the same type and with different types, respectively.http://dx.doi.org/10.1155/2014/402821 |
| spellingShingle | Huilin Huang The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices Abstract and Applied Analysis |
| title | The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices |
| title_full | The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices |
| title_fullStr | The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices |
| title_full_unstemmed | The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices |
| title_short | The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices |
| title_sort | degree analysis of an inhomogeneous growing network with two types of vertices |
| url | http://dx.doi.org/10.1155/2014/402821 |
| work_keys_str_mv | AT huilinhuang thedegreeanalysisofaninhomogeneousgrowingnetworkwithtwotypesofvertices AT huilinhuang degreeanalysisofaninhomogeneousgrowingnetworkwithtwotypesofvertices |