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COMBINATORICA
2011
14 years 1 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
CCCG
2010
15 years 3 months ago
Approximating the independent domatic partition problem in random geometric graphs - an experimental study
We investigate experimentally the Domatic Partition (DP) problem, the Independent Domatic Partition (IDP) problem and the Idomatic partition problem in Random Geometric Graphs (RG...
Dhia Mahjoub, Angelika Leskovskaya, David W. Matul...
CSC
2008
15 years 3 months ago
On the Random Walks of Geometrical Forms in Two-Dimensions
I show how to design the value of the diffusion constant D for the random walks of Squares and Triangles over their respective regular lattice in two-dimensions. By allowing moveme...
J. F. Nystrom
133
Voted
SAC
2008
ACM
15 years 1 months ago
A biologically inspired generation of virtual characters
A number of techniques for generating geometric models of human head and body are in use nowadays. Models of human characters are useful in computer games, virtual reality, and ma...
Roberto C. Cavalcante Vieira, Creto Augusto Vidal,...
124
Voted
FOCS
1994
IEEE
15 years 5 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
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...
Sunil Arya, David M. Mount, Michiel H. M. Smid