A geometric Hall-type theorem

DOI10.1090/proc12733zbMath1331.05219arXiv1412.6639OpenAlexW2037128500MaRDI QIDQ2789848

Leonardo Martínez-Sandoval, Luis Montejano, Andreas F. Holmsen

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6639

zbMATH Keywords

matroidstopological combinatoricsHall's theorempoints in general position

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Transversal (matching) theory (05D15)

Related Items (3)

Noncover complexes, independence complexes, and domination numbers of hypergraphs ⋮ Helly’s theorem: New variations and applications ⋮ Domination numbers and noncover complexes of hypergraphs

Cites Work

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• A topological colorful Helly theorem
• Ryser's conjecture for tripartite 3-graphs
• The clique complex and hypergraph matching
• Topology of random clique complexes
• Homotopy properties of greedoids
• Domination numbers and homology
• Triangulated spheres and colored cliques
• Nerves, fibers and homotopy groups
• Independent systems of representatives in weighted graphs
• Eigenvalues and homology of flag complexes and vector representations of graphs
• On Forming Committees
• The intersection of a matroid and a simplicial complex
• Hall's theorem for hypergraphs

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