Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1913

Degree distribution nearby the origin of a preferential attachment graph

Tamás F. Móri, 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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Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1913