Proving total dual integrality with cross-free families—A general framework
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Publication:3313630
DOI10.1007/BF02591726zbMath0531.90076MaRDI QIDQ3313630
Publication date: 1984
Published in: Mathematical Programming (Search for Journal in Brave)
total dual integralitytotal unimodularitypolymatroidal network flowscross-freekernel systemsubmodular, lattice polyhedra
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Cites Work
- Short proofs on the matching polyhedron
- The ellipsoid method and its consequences in combinatorial optimization
- Maximal Flow Through a Network
- Polyhedra related to a lattice
- Optimum matching forests I: Special weights
- Optimum matching forests II: General weights
- Optimum matching forests III: Facets of matching forest polyhedra
- Min-max Relations for Directed Graphs
- Minimization of Some Nonlinear Functions over Polymatroidal Network Flows
- Computing Maximal “Polymatroidal” Network Flows
- A generalization of max flow—min cut
- ALGORITHMS FOR SOLVING THE INDEPENDENT-FLOW PROBLEMS
- A Minimax Theorem for Directed Graphs
- An Algorithm for Submodular Functions on Graphs
- Packing rooted directed cuts in a weighted directed graph
- Lectures on matroids
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