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Strongly polynomial algorithm for directed ''S-T'' edge-connectivity augmentation[[Veghal]]
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Let ''D=(V,A)'' be a digraph, and <math>u: V \to {\mathbb Z_+}</math>. When does ''D'' contain ''k'' edge-disjoint directed spanning trees so that in each directed spanning tree the in-degree of ''v'' is at most ''u(v)''?[[Veghal]]
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Strongly polynomial algorithm for market equilibrium (see http://www.cc.gatech.edu/fac/Vijay.Vazirani/market.ps )[[Veghal]]
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Is every ''t''-perfect graph strongly ''t''-perfect?
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Partition median problem [[Veghal]]