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Limits of locally-globally convergent graph sequences.
- Source :
-
Geometric & Functional Analysis . Feb2014, Vol. 24 Issue 1, p269-296. 28p. - Publication Year :
- 2014
-
Abstract
- The colored neighborhood metric for sparse graphs was introduced by Bollobás and Riordan []. The corresponding convergence notion refines a convergence notion introduced by Benjamini and Schramm []. We prove that even in this refined sense, the limit of a convergent graph sequence (with uniformly bounded degree) can be represented by a graphing. We study various topics related to this convergence notion such as: Bernoulli graphings, factor of i.i.d. processes and hyperfiniteness. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1016443X
- Volume :
- 24
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Geometric & Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 94886721
- Full Text :
- https://doi.org/10.1007/s00039-014-0258-7