A Geometric Preferential Attachment Model of Networks II

نویسندگان

  • Abraham D. Flaxman
  • Alan M. Frieze
  • Juan Vera
چکیده

We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. This model yields a graph with power-law degree distribution where the expansion property depends on a tunable parameter of the model. The vertices of Gn are n sequentially generated points x1, x2, . . . , xn chosen uniformly at random from the unit sphere in R. After generating xt, we randomly connect it to m points from those points in x1, x2, . . . , xt−1.

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تاریخ انتشار 2007