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January 2014 Asymptotic behavior and distributional limits of preferential attachment graphs
Noam Berger, Christian Borgs, Jennifer T. Chayes, Amin Saberi
Ann. Probab. 42(1): 1-40 (January 2014). DOI: 10.1214/12-AOP755

Abstract

We give an explicit construction of the weak local limit of a class of preferential attachment graphs. This limit contains all local information and allows several computations that are otherwise hard, for example, joint degree distributions and, more generally, the limiting distribution of subgraphs in balls of any given radius $k$ around a random vertex in the preferential attachment graph. We also establish the finite-volume corrections which give the approach to the limit.

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Noam Berger. Christian Borgs. Jennifer T. Chayes. Amin Saberi. "Asymptotic behavior and distributional limits of preferential attachment graphs." Ann. Probab. 42 (1) 1 - 40, January 2014. https://doi.org/10.1214/12-AOP755

Information

Published: January 2014
First available in Project Euclid: 9 January 2014

zbMATH: 1296.60010
MathSciNet: MR3161480
Digital Object Identifier: 10.1214/12-AOP755

Subjects:
Primary: 60C05, 60K99

Rights: Copyright © 2014 Institute of Mathematical Statistics

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Vol.42 • No. 1 • January 2014
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