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STOC
2004
ACM
94views Algorithms» more  STOC 2004»
14 years 5 months ago
Sharp thresholds For monotone properties in random geometric graphs
Ashish Goel, Sanatan Rai, Bhaskar Krishnamachari
DCG
2011
13 years 10 days 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 3 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 5 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