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More Colourful Simplices
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More Colourful Simplices
classification
math.CO
keywords
simplicesboundscolourfulcontainedconvexgeneralhullimproves
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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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