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» On the Number of Empty Pseudo-Triangles in Point Sets
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103
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SIAMDM
2010
123views more  SIAMDM 2010»
14 years 10 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...
110
Voted
CCCG
2008
15 years 1 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»
14 years 11 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
81
Voted
CCCG
2009
15 years 22 days 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
15 years 1 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