Helly numbers of acyclic families
From MaRDI portal
Publication:2445970
DOI10.1016/j.aim.2013.11.004zbMath1301.52019arXiv1101.6006OpenAlexW2963422761MaRDI QIDQ2445970
Grégory Ginot, Xavier Goaoc, Éric Colin de Verdière
Publication date: 15 April 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.6006
spectral sequencesHelly's theoremHelly numbertopological combinatoricsgeometric transversalsnerve theoremsimplicial posetLeray number
Helly-type theorems and geometric transversal theory (52A35) Spectral sequences in algebraic topology (55T99) Combinatorial aspects of simplicial complexes (05E45)
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Leray numbers of complexes of graphs with bounded matching number, Bounding Helly Numbers via Betti Numbers, The intersection of a matroid and an oriented matroid, Colorful theorems for strong convexity, Helly’s theorem: New variations and applications, Nerves, minors, and piercing numbers, Quantitative combinatorial geometry for concave functions, The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg
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