A novel configuration model for random graphs with given degree sequence

Details A novel configuration model for random graphs with given degree sequence A novel configuration model for random graphs with given degree sequence

2007-08-20

arxiv.org/abs/0708.2601v1

Chinese Physics 16(2007)282

Physics

Mathematical Physics

7 pages, 3 figures

Scientific paper

10.1088/1009-1963/16/2/002

Recently, random graphs in which vertices are characterized by hidden variables controlling the establishment of edges between pairs of vertices have attracted much attention. Here, we present a specific realization of a class of random network models in which the connection probability between two vertices (i,j) is a specific function of degrees ki and kj. In the framework of the configuration model of random graphs, we find analytical expressions for the degree correlation and clustering as a function of the variance of the desired degree distribution. The expressions obtained are checked by means of numerical simulations. Possible applications of our model are discussed.

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