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07 February 2025
 
  » arxiv » 1605.0240

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Symmetric Unique Neighbor Expanders and Good LDPC Codes
Oren Becker ;
Date 1 May 2016
AbstractAn infinite family of bounded-degree ’unique-neighbor’ expanders was constructed explicitly by Alon and Capalbo (2002). We present an infinite family F of bounded-degree unique-neighbor expanders with the additional property that every graph in the family F is a Cayley graph. This answers a question raised by Tali Kaufman. Using the same methods, we show that the symmetric LDPC codes constructed by Kaufman and Lubotzky (2012) are in fact symmetric under a simply transitive group action on coordinates.
Source arXiv, 1605.0240
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