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» On the Number of Empty Pseudo-Triangles in Point Sets
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SIAMDM
2010
123views more  SIAMDM 2010»
13 years 3 months ago
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Fe...
CCCG
2008
13 years 6 months ago
Competitive Search for Longest Empty Intervals
A problem arising in statistical data analysis and pattern recognition is to find a longest interval free of data points, given a set of data points in the unit interval. We use t...
Peter Damaschke
CORR
1999
Springer
222views Education» more  CORR 1999»
13 years 5 months ago
Analysis of approximate nearest neighbor searching with clustered point sets
Abstract. Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these poi...
Songrit Maneewongvatana, David M. Mount
CCCG
2009
13 years 6 months ago
The Bichromatic Rectangle Problem in High Dimensions
Given a set of blue points and a set of red points in ddimensional space, we show how to find an axis-aligned hyperrectangle that contains no red points and as many blue points as...
Jonathan Backer, J. Mark Keil
AIPS
2006
13 years 6 months ago
An Empirical Study of Multi-Point Constructive Search for Constraint-Based Scheduling
Multi-point constructive search (MPCS) performs a series of resource-limited backtracking searches where each search begins either from an empty solution (as in randomized restart...
J. Christopher Beck