English

Assortativity in Generalized Preferential Attachment Models

Probability 2017-07-07 v3 Physics and Society

Abstract

In this paper, we analyze assortativity of preferential attachment models. We deal with a wide class of preferential attachment models (PA-class). It was previously shown that the degree distribution in all models of the PA-class follows a power law. Also, the global and the average local clustering coefficients were analyzed. We expand these results by analyzing the assortativity property of the PA-class of models. Namely, we analyze the behavior of dnn(d)d_{nn}(d) which is the average degree of a neighbor of a vertex of degree dd.

Keywords

Cite

@article{arxiv.1610.02819,
  title  = {Assortativity in Generalized Preferential Attachment Models},
  author = {Alexander Krot and Liudmila Ostroumova Prokhorenkova},
  journal= {arXiv preprint arXiv:1610.02819},
  year   = {2017}
}
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