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### Paper:

TR06-119 | 13th September 2006 00:00

#### An Elementary Construction of Constant-Degree Expanders

TR06-119
Authors: Noga Alon, Oded Schwartz, Asaf Shapira
Publication: 13th September 2006 16:05
Keywords:

Abstract:

We describe a short and easy to analyze construction of
constant-degree expanders. The construction relies on the
replacement-product, which we analyze using an elementary
combinatorial argument. The construction applies the replacement
product (only twice!) to turn the Cayley expanders of \cite{AR},
whose degree is polylog n, into constant degree
expanders.

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