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Given a sufficiently large and sufficiently dense bipartite graph $G=(A, B;E),$ we present a novel method for decomposing the majority of the edges of $G$into quasirandom graphs so that the vertex sets of these quasirandom graphspartition the majority of $A.$ The method works for relatively small or sparsegraphs, and can be used to substitute the Regularity lemma of Szemer\'edi insome graph embedding problems.

A new graph decomposition method for bipartite graphs