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» Number of Crossing-Free Geometric Graphs vs. Triangulations
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COMPGEOM
2010
ACM
13 years 10 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
COMPGEOM
2010
ACM
13 years 10 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
COMPGEOM
2004
ACM
13 years 10 months ago
Single-strip triangulation of manifolds with arbitrary topology
Triangle strips have been widely used for efficient rendering. It is NP-complete to test whether a given triangulated model can be represented as a single triangle strip, so many...
David Eppstein, M. Gopi
SMA
2008
ACM
110views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Probabilistic model of triangulation
This paper analyses the probability that randomly deployed sensor nodes triangulate any point within the target area. Its major result is the probability of triangulation for any p...
Xiaoyun Li, David K. Hunter
CCCG
2008
13 years 6 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...