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Algebraic & Geometric Topology
Article
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arXiv.org e-Print Archive
Preprint . 2011
Data sources: arXiv.org e-Print Archive
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Project Euclid
Other literature type . 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
License: arXiv Non-Exclusive Distribution
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Algebraic & Geometric Topology
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Expanders and property A

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Jan 2012Embargo end date: 01 Jan 2011 United Kingdom Publisher:Mathematical Sciences PublishersJournal:Algebraic & Geometric Topology, volume 12, pages 37-47 (issn: 1472-2747, eissn: 1472-2739, Copyright policy )
Authors: Wright, Nick; Khukhro, Ana;

doi: 10.2140/agt.2012.12.37 , 10.48550/arxiv.1108.6232

arXiv: http://arxiv.org/abs/1108.6232

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

43A07, 55B20, 05C80, 20F69, 68R10, Geometric Topology (math.GT), K-Theory and Homology (math.KT), Group Theory (math.GR), 510, 004, 51F99, 55N20, Mathematics - Geometric Topology, Mathematics - K-Theory and Homology, FOS: Mathematics, Yu's property A, generalised cohomology, 20F65, Mathematics - Group Theory, expanders

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    citations
    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).
    		 4
    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.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
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!
4
Average
Average
Average
Green
bronze