Superconcentrators of depth 2

摘要

It is shown that every n-superconcentrator of depth 2 has size μ(n log n); that there exist n-superconcentrators of depth 2 and size O(n(log n)2); and that there exist n-superconcentrators on which the pebble game can be played in space S and time O((nlogn)2S), for a wide range of values of S.