The Degree Analysis of an Inhomogeneous Growing Network with Two Types of Vertices. (12th May 2014)

• Record Type: Journal Article
• Authors: Huang, Huilin
• Other Names: Ding Derui Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-05-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/402821
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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 + δ q s + β 1 - q s / α q s, 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.