Journal of Statistical Physics

Large Communities in a Scale-free Network – 2017

with C. Alves (U. Leipzig) and R. Sanchis (UFMG) – Journal of Statistical Physics

Abstract

We prove the existence of a large complete subgraph w.h.p. in a preferential attachment random graph process with an edge-step. That is, we prove that the random graph G_t produced by the so-called GLP model at time t contains a complete subgraph of order t^{\alpha} , where \alpha = (1-\varepsilon)(1-p)/(2-p) and \varepsilon is any number such that 0<\varepsilon<1 , and 0<p<1 is a parameter of the model.

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Journal of Statistical Physics

ArXiv

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