Presentations of transversal valuated matroids
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Publication:6133798
DOI10.1112/jlms.12505zbMath1519.05042arXiv1903.08288MaRDI QIDQ6133798
Alex Fink, Jorge Alberto Olarte
Publication date: 21 August 2023
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.08288
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of tropical varieties (14T15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Transversal (matching) theory (05D15) Directed graphs (digraphs), tournaments (05C20)
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Cites Work
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- Weighted digraphs and tropical cones
- Local tropical linear spaces
- Dressians, tropical Grassmannians, and their rays
- Stiefel tropical linear spaces
- Matroid polytopes, nested sets and Bergman fans
- The Minkowski theorem for max-plus convex sets
- Bimatroids and Gauss decomposition
- Triangulations. Structures for algorithms and applications
- Induction of M-convex functions by linking systems
- Network theory and transversal matroids
- Valuated matroids
- Chow polytopes and general resultants
- A simple proof that every matroid is an intersection of fundamental transversal matroids
- Matroids over partial hyperstructures
- Tropical convexity
- Finding optimal minors of valuated bimatroids
- Valuative invariants for polymatroids
- A module-theoretic approach to matroids
- The tropical totally positive Grassmannians
- Tropical hyperplane arrangements and oriented matroids
- Transversal matroids and Hall's theorem
- Gammoids and transversal matroids
- Intersection theory on toric varieties
- The Bergman complex of a matroid and phylogenetic trees
- TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES
- Tropical Cramer determinants revisited
- Multiorder, Kleene stars and cyclic projectors in the geometry of max cones
- Max-linear Systems: Theory and Algorithms
- Permutohedra, Associahedra, and Beyond
- Tropical Linear Spaces
- The tropical Grassmannian
- Transversals and matroid partition
- Systems of distinct representatives and linear algebra
- Independence Spaces and Combinatorial Problems
- A characterization of transversal independence spaces
- On a Class of Matroids Arising From Paths in Graphs
- Matrices and matroids for systems analysis
- Characterizations of transversal matroids and their presentations
