Mathematics – Probability
Scientific paper
2009-10-31
Europ. J. Combin. 32 (2011), 1115--1125
Mathematics
Probability
16 pages; corrected missing reference in v2
Scientific paper
We prove that in every bipartite Cayley graph of every non-amenable group,
there is a perfect matching that is obtained as a factor of independent uniform
random variables. We also discuss expansion properties of factors and improve
the Hoffman spectral bound on independence number of finite graphs.
Lyons Russell
Nazarov Fedor
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