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DCG
2011
12 years 7 months ago
Prodsimplicial-Neighborly Polytopes
Benjamin Matschke, Julian Pfeifle, Vincent Pilaud
DCG
2011
12 years 11 months ago
Lines Pinning Lines
Boris Aronov, Otfried Cheong, Xavier Goaoc, Gü...
DCG
2011
12 years 11 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 ...
Antoine Deza, Tamon Stephen, Feng Xie
DCG
2011
12 years 11 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle