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 Electronic Communications in Probability > Vol. 12 (2007) > Paper 27 open journal systems 


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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Pages: 276-282

Published on: September 13, 2007


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Electronic Communications in Probability. ISSN: 1083-589X