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Other literature type . 2012
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zbMATH Open
Article . 2012
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Algebraic & Geometric Topology
Article . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
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Expanders and property A

Expanders and property A.
Authors: Wright, Nick; Khukhro, Ana;

Expanders and property A

Abstract

We give a cohomological characterisation of expander graphs, and use it to give a direct proof that expander graphs do not have Yu's property A.

Country
United Kingdom
Related Organizations
Keywords

Equivariant homology and cohomology in algebraic topology, 55B20, 05C80, Means on groups, semigroups, etc.; amenable groups, 68R10, Group Theory (math.GR), 510, Planar graphs; geometric and topological aspects of graph theory, uniform embeddings into Hilbert spaces, 51F99, Mathematics - Geometric Topology, FOS: Mathematics, amenability, 20F65, coarse geometry, expanders, 43A07, Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, expander graphs, 20F69, Geometric Topology (math.GT), K-Theory and Homology (math.KT), Noncommutative topology, 004, cohomological descriptions, 55N20, property A, Mathematics - K-Theory and Homology, Yu's property A, Structural characterization of families of graphs, generalised cohomology, Geometric group theory, Mathematics - Group Theory, discrete bounded metric spaces, coarse Baum-Connes conjecture

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze