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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Main Author:	Huilin Huang
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/402821

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spelling	doaj-9b27867185cf45f8a354dc5bb23d67b52020-11-24T21:02:53ZengHindawi LimitedAbstract 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huilin Huang
spellingShingle	Huilin Huang The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices Abstract and Applied Analysis
author_facet	Huilin Huang
author_sort	Huilin Huang
title	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_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_sort	degree analysis of an inhomogeneous growing network with two types of vertices
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
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.
url	http://dx.doi.org/10.1155/2014/402821
work_keys_str_mv	AT huilinhuang thedegreeanalysisofaninhomogeneousgrowingnetworkwithtwotypesofvertices AT huilinhuang degreeanalysisofaninhomogeneousgrowingnetworkwithtwotypesofvertices
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The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices

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