Testing membership in matroid polyhedra
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Publication:1056350
DOI10.1016/0095-8956(84)90023-6zbMath0522.90067OpenAlexW2080656989MaRDI QIDQ1056350
Publication date: 1984
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0095-8956(84)90023-6
combinatorial optimizationnetwork flowspolynomial-time algorithmssubmodular functionscomputational membership determinationmatroid partitioning
Analysis of algorithms and problem complexity (68Q25) Integer programming (90C10) Combinatorial aspects of matroids and geometric lattices (05B35) Polytopes and polyhedra (52Bxx)
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Cites Work
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- The ellipsoid method and its consequences in combinatorial optimization
- An unbounded matroid intersection polyhedron
- Blocking, antiblocking, and pairs of matroids and polymatroids
- A Primal-Dual Algorithm for Submodular Flows
- The Partial Order of a Polymatroid Extreme Point
- Minimum cuts, modular functions, and matroid polyhedra
- Preemptive Scheduling with Release Times, Deadlines, and Due Times
- Computing Maximal “Polymatroidal” Network Flows
- Selected Applications of Minimum Cuts in Networks
- Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
- Minimum partition of a matroid into independent subsets
- Blocking and anti-blocking pairs of polyhedra