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STOC
2004
ACM
94views Algorithms» more  STOC 2004»
14 years 6 months ago
Sharp thresholds For monotone properties in random geometric graphs
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari
DCG
2011
13 years 1 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
TCOM
2010
109views more  TCOM 2010»
13 years 4 months ago
Results on Finite Wireless Networks on a Line
Abstract— Today, due to the vast amount of literature on largescale wireless networks, we have a fair understanding of the asymptotic behavior of such networks. However, in real ...
Ali Eslami, Mohammad Nekoui, Hossein Pishro-Nik
COMBINATORICA
2011
12 years 6 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller