More Colourful Simplices

Details More Colourful Simplices More Colourful Simplices

2010-01-26

arxiv.org/abs/1001.4582v3

Mathematics

Combinatorics

6 pages

Scientific paper

We show that any point in the convex hull of each of (d+1) sets of (d+1)
points in general position in \R^d 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.

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