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DCG
2011
8 years 2 months ago
Prodsimplicial-Neighborly Polytopes
Benjamin Matschke, Julian Pfeifle, Vincent Pilaud
DCG
2011
8 years 6 months ago
Lines Pinning Lines
Boris Aronov, Otfried Cheong, Xavier Goaoc, Gü...
DCG
2011
8 years 6 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
8 years 6 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
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