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SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 8 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
NIPS
2003
13 years 8 months ago
Minimax Embeddings
Spectral methods for nonlinear dimensionality reduction (NLDR) impose a neighborhood graph on point data and compute eigenfunctions of a quadratic form generated from the graph. W...
Matthew Brand
SCALESPACE
2005
Springer
14 years 28 days ago
Discrete Representation of Top Points via Scale Space Tessellation
In previous work, singular points (or top points) in the scale space representation of generic images have proven valuable for image matching. In this paper, we propose a construct...
Bram Platel, M. Fatih Demirci, Ali Shokoufandeh, L...
FOCS
2003
IEEE
14 years 22 days ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
WG
2010
Springer
13 years 5 months ago
Graphs with Large Obstacle Numbers
Motivated by questions in computer vision and sensor networks, Alpert et al. [3] introduced the following definitions. Given a graph G, an obstacle representation of G is a set of...
Padmini Mukkamala, János Pach, Deniz Sari&o...