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Finite simple groups as expanders

delete2006-04-18
delete30
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OA
AI
M
Martin Kassabov
A
Alexander Lubotzky
N
Nikolay Nikolov
DOI:10.1073/pnas.0510337103delete
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Abstract

Abstract

En 中文
We prove that there exist k is an element of N and 0 < epsilon is an element of R such that every non-abelian finite simple group G, which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay(G; 5) is an epsilon-expander.
Keywords:
expander graphs
Ramanujan complexes
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Journal

P
Proceedings of the National Academy of Sciences of the United States of America
IF:
9.1
Papers:
10.8W
Citations:
73.5W

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