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Towards Duality of Multicommodity Multiroute Cuts and Flows: Multilevel Ball-Growing

2013
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Theory of Computing Systems
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An elementary h-route flow, for an integer h ≥ 1, is a set of h edge-disjoint paths between a source and a sink, each path carrying a unit of flow, and an h-route flow is a non-negative linear combination of elementary h-route flows. An h-route cut is a set of edges whose removal decreases the maximum h-route flow between a given source-sink pair (or between every source-sink pair in the multicommodity setting) to zero. The main result of this paper is an approximate duality theorem for

doi:10.1007/s00224-013-9454-3
fatcat:vjlestmhavezhmuumfcb5bw6uy