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math.CO2012
A combinatorial approach to colourful simplicial depth
Antoine Deza, Frédéric Meunier, Pauline Sarrabezolles
The colourful simplicial depth conjecture states that any point in the convex hull of each of d+1 sets, or colours, of d+1 points in general position in R^d is contained in at leas…
math.CO2012★ 1 cited
Computational Lower Bounds for Colourful Simplicial Depth
Antoine Deza, Tamon Stephen, Feng Xie
The colourful simplicial depth problem in dimension d is to find a configuration of (d+1) sets of (d+1) points such that the origin is contained in the convex hull of each set (col…