Phase transition on the degree sequence of a random graph process with vertex copying and deletion

Kai-Yuan Cai, Zhao Dong, Ke Liu and Xian-Yuan Wu

Stochastic Processes and their Applications, 2011, vol. 121, issue 4, 885-895

Abstract: This paper focuses on the degree sequence of a random graph process with copying and vertex deletion. A phase transition is revealed as the following: when copying strictly dominates deletion, the model possesses a power law degree sequence; and when deletion strictly dominates copying, it possesses an exponential one; otherwise, the model possesses an intermediate degree distribution which decays as . Note that, due to copying, the edge number of the model may grow super-linearly and the model may exhibit a power law with any exponent greater than 1.

Keywords: Degree; sequence; Power; law; Phase; transition; Difference; equation (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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