Complete Kneser transversals

DOI10.1016/j.aam.2016.07.004zbMath1352.52017arXiv1511.01315OpenAlexW3102125445MaRDI QIDQ335860

Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano, Luis Pedro Montejano, Jorge Luis Ramírez Alfonsín

Publication date: 2 November 2016

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01315

zbMATH Keywords

transversalsoriented matroidscyclic polytopeKneser hypergraphs

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Coloring of graphs and hypergraphs (05C15) Polytopes and polyhedra (52B99) Helly-type theorems and geometric transversal theory (52A35) Oriented matroids in discrete geometry (52C40)

Related Items (2)

Codimension Two and Three Kneser Transversals ⋮ Tverberg’s theorem is 50 years old: A survey

Cites Work

• Transversals to the convex hulls of all \(k\)-sets of discrete subsets of \(\mathbb R^n\)
• Kneser's conjecture, chromatic number, and homotopy
• Stabbing simplices by points and flats
• Oriented Matroids
• A Theorem on General Measure
• On An Invariant of Plane Regions and Mass Distributions

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