29 search results - page 1 / 6 » Random Geometric Graph Diameter in the Unit Ball |
ALGORITHMICA
2007
13 years 11 months ago
2007
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 ...
RSA
2011
13 years 6 months ago
2011
We study the cover time of random geometric graphs. Let I(d) = [0, 1]d denote the unit torus in d dimensions. Let D(x, r) denote the ball (disc) of radius r. Let Υd be the volume...
WADS
2007
Springer
14 years 5 months ago
2007
Springer
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
COMBINATORICA
2011
12 years 11 months ago
2011
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...
FOCS
1994
IEEE
14 years 2 months ago
1994
IEEE
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...