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A lower bound on the crossing number of uniform hypergraphs

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Publication:298946
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DOI10.1016/j.dam.2015.10.009zbMath1339.05267arXiv1309.3625OpenAlexW1957208143MaRDI QIDQ298946

Saswata Shannigrahi, Anurag Anshu

Publication date: 21 June 2016

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

Full work available at URL: https://arxiv.org/abs/1309.3625


zbMATH Keywords

ham sandwich theoremGale transformcrossing simplicesgeometric hypergraph


Mathematics Subject Classification ID

Hypergraphs (05C65)


Related Items (4)

On the rectilinear crossing number of complete uniform hypergraphs ⋮ \(k\)-sets and rectilinear crossings in complete uniform hypergraphs ⋮ Rectilinear crossings in complete balanced \(d\)-partite \(d\)-uniform hypergraphs ⋮ Maximum rectilinear crossing number of uniform hypergraphs



Cites Work

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  • On \(\leq k\)-edges, crossings, and halving lines of geometric drawings of \(K _{n }\)
  • Geometric drawings of \(K_{n}\) with few crossings
  • The Rectilinear Crossing Number of K n : Closing in (or Are We?)
  • Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler


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