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DCG
2011
13 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
DM
2007
84views more  DM 2007»
13 years 11 months ago
The topology of spaces of phylogenetic trees with symmetry
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...
Axel Hultman