Transversals to the convex hulls of all \(k\)-sets of discrete subsets of \(\mathbb R^n\)

DOI10.1016/j.jcta.2010.09.003zbMath1231.05046OpenAlexW2066088770MaRDI QIDQ616450

Jorge Luis Ramírez Alfonsín, Javier Bracho, Jorge Luis Arocha, Luis Montejano

Publication date: 7 January 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2010.09.003

zbMATH Keywords

transversalKneser hypergraphs\(\lambda \)-Helly propertyflat center theorem

Mathematics Subject Classification ID

Hypergraphs (05C65) Combinatorial aspects of finite geometries (05B25) Coloring of graphs and hypergraphs (05C15) Helly-type theorems and geometric transversal theory (52A35)

Related Items (4)

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

Cites Work

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• Tverberg's transversal conjecture and analogues of nonembeddability theorems for transversals
• On the multiplication in the characteristic ring of a sphere bundle
• Generalized sandwich theorems
• An Extension of the Ham Sandwich Theorem
• The Chromatic Number of Kneser Hypergraphs
• A Generalization of Radon's Theorem
• A Theorem on General Measure
• On An Invariant of Plane Regions and Mass Distributions

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