Degree distribution nearby the origin of a preferential attachment graph

Móri F. Tamás (Department of Probability Theory and Statistics, Eötvös Loránd University)

Abstract


In a 2-parameter scale free model of random graphs it is shown that the asymptotic degree distribution is the same in the neighbourhood of every vertex. This degree distribution is still a power law with characteristic exponent 2, but this exponent is different from the one observed in the whole graph.

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Pages: 276-282

Publication Date: September 13, 2007

DOI: 10.1214/ECP.v12-1299

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