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The Structure of Near-Minimum Edge Cuts

By Andras A. Benczur


Let G be an undirected k-edge connected graph. In this paper we give a representation for all edge cuts with capacity not exceeding roughly 6 5 k. This generalizes the cactus representation #Dinits et al# for all minimum cuts. Karger proved that the number of cuts within a multiplicative factor # of the connectivity is at most O#n #. We improve this bound to O#n # for # =6=5

Topics: Key words, minimum cuts, edge connectivity, edge splitting-o, graph algorithms
Year: 1995
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