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The distribution of second degrees in the Bollob\'as--Riordan random graph model

Probability 2011-08-30 v1 Combinatorics

Abstract

We prove that the distribution of second degrees in the Bollob\'as--Riordan random graph model obeys the power law. We consider the model with parameter m = 1 (the number of edges equals the number of nodes).

Keywords

Cite

@article{arxiv.1108.5585,
  title  = {The distribution of second degrees in the Bollob\'as--Riordan random graph model},
  author = {Liudmila Ostroumova and Evgeniy Grechnikov},
  journal= {arXiv preprint arXiv:1108.5585},
  year   = {2011}
}

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14 pages