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2011

More Colourful Simplices

8 years 6 months ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each set. This improves the known lower bounds for all d ≥ 4. Keywords Colourful simplicial depth · Colourful Carathéodory theorem · Discrete geometry
Antoine Deza, Tamon Stephen, Feng Xie
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where DCG
Authors Antoine Deza, Tamon Stephen, Feng Xie
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