Overlap properties of geometric expanders

The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) ∈ (0, 1] such that no matter how we map the vertices of H into ℝ[superscript d], there is a point covered by at least a c(H)-fraction of the simplices induced by the images of its hyperedges. Motivated by the se...

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Bibliographic Details
Main Authors: Fox, Jacob, Gromov, Mikhail, Lafforgue, Vincent, Naor, Assaf, Pach, Janos
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Walter de Gruyter 2013
Online Access:http://hdl.handle.net/1721.1/80829