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COMBINATORICA
2008
130views more  COMBINATORICA 2008»
13 years 7 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller
DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 8 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
13 years 7 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...
IPPS
1998
IEEE
13 years 11 months ago
Capturing the Connectivity of High-Dimensional Geometric Spaces by Parallelizable Random Sampling Techniques
Abstract. Finding paths in high-dimensional gemetric spaces is a provably hard problem. Recently, a general randomized planning scheme has emerged as an e ective approach to solve ...
David Hsu, Lydia E. Kavraki, Jean-Claude Latombe, ...
IM
2008
13 years 7 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