From expanders to better superconcentrators without cascading
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- Shamir E. (1984) From expanders to better superconcentrators without cascading. In: Fontet M., Mehlhorn K. (eds) STACS 84. STACS 1984. Lecture Notes in Computer Science, vol 166. Springer, Berlin, Heidelberg
Superconcentration is a strong property of interconnection diagraphs. We characterize its negation by existence of two disjoint and seperated sets which shrink under the forward and backward neighbor relation, respectively. This enables a better, non-cascaded design of superconcentrators, explicit ones with edge density ≤ 118, random ones with edge density ≤ 13.
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