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arXiv:math/0512400 [math.CO]AbstractReferencesReviewsResources

A quadratic lower bound for colourful simplicial depth

Tamon Stephen, Hugh Thomas

Published 2005-12-16, updated 2007-07-23Version 2

We show that any point in the convex hull of each of (d+1) sets of (d+1) points in R^d is contained in at least floor((d+2)^2/4) simplices with one vertex from each set.

Comments: 4 pages, revised style and organization
Categories: math.CO
Subjects: 52C45, 52A35
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