Cutting a Graph into Two Dissimilar

Abstract

S G S e d Given a graph and a subset of the vertex set of , the discrepancy of is defined as th ifference between the actual and expected numbers of the edges in the subgraph induced on. We ¡ S n 2 ¢ £ £ £ £ £) n (n −1 4 s n e n <e < how that for every graph with vertices and edges, , there is an-element subset with the discrepancy of the order of magnitude… (More)

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