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ALGORITHMICA
2005
108views more  ALGORITHMICA 2005»
13 years 5 months ago
How Fast Is the k-Means Method?
We present polynomial upper and lower bounds on the number of iterations performed by the k-means method (a.k.a. Lloyd's method) for k-means clustering. Our upper bounds are ...
Sariel Har-Peled, Bardia Sadri
COMBINATORICA
2004
69views more  COMBINATORICA 2004»
13 years 5 months ago
Structural Results For Planar Sets With Many Similar Subsets
Consider a k-element subset P of the plane. It is known that the maximum number of sets similar to P that can be found among n points in the plane is (n2 ) if and only if the cros...
Bernardo M. Ábrego, György Elekes, Sil...
SODA
1992
ACM
109views Algorithms» more  SODA 1992»
13 years 7 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
COCOA
2009
Springer
13 years 10 months ago
Variable-Size Rectangle Covering
Abstract. In wireless communication networks, optimal use of the directional antenna is very important. The directional antenna coverage (DAC) problem is to cover all clients with ...
Francis Y. L. Chin, Hing-Fung Ting, Yong Zhang
COMPGEOM
2005
ACM
13 years 7 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg