Open Access
2007 Degree distribution nearby the origin of a preferential attachment graph
Móri Tamás
Author Affiliations +
Electron. Commun. Probab. 12: 276-282 (2007). DOI: 10.1214/ECP.v12-1299

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.

Citation

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Móri Tamás. "Degree distribution nearby the origin of a preferential attachment graph." Electron. Commun. Probab. 12 276 - 282, 2007. https://doi.org/10.1214/ECP.v12-1299

Information

Accepted: 13 September 2007; Published: 2007
First available in Project Euclid: 6 June 2016

MathSciNet: MR2342706
Digital Object Identifier: 10.1214/ECP.v12-1299

Subjects:
Primary: 60G42
Secondary: 05C80

Keywords: degree distribution , martingale , Scale free graphs

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