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» On the Probability of the Existence of Fixed-Size Components...
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SODA
2010
ACM
201views Algorithms» more  SODA 2010»
9 years 1 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
IM
2008
8 years 4 months ago
Fast and Efficient Restricted Delaunay Triangulation in Random Geometric Graphs
Let G = G(n, r) be a random geometric graph resulting from placing n nodes uniformly at random in the unit square (disk) and connecting every two nodes if and only if their Euclide...
Chen Avin
DCG
2011
7 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
MONET
2006
157views more  MONET 2006»
8 years 4 months ago
Connectivity in Wireless Ad-hoc Networks with a Log-normal Radio Model
In this paper we study connectivity in wireless ad-hoc networks by modeling the network as an undirected geometric random graph. The novel aspect in our study is that for finding t...
Ramin Hekmat, Piet Van Mieghem
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