Before revision:  For instance, we provide a (randomized)algorithm computing a maximum cardinality matching in an unweighted bipartite graph in O(\log^2 n \cdot \epsilon ^{-1} ) passes, using O(n \log^2 n \cdot \epsilon^{-1)auxiliary memory.
After revision:  For instance, we provide a (randomized)algorithm computing a maximum cardinality matching in an unweighted bipartite graph in O(\log^2 n \cdot \epsilon ^{-1} ) passes, using O(n )auxiliary memory.