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» The number of guillotine partitions in d dimensions
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STOC
2002
ACM
119views Algorithms» more  STOC 2002»
14 years 7 months ago
Space-efficient approximate Voronoi diagrams
Given a set S of n points in IRd , a (t, )-approximate Voronoi diagram (AVD) is a partition of space into constant complexity cells, where each cell c is associated with t represe...
Sunil Arya, Theocharis Malamatos, David M. Mount
BMCBI
2008
166views more  BMCBI 2008»
13 years 7 months ago
Biclustering via optimal re-ordering of data matrices in systems biology: rigorous methods and comparative studies
Background: The analysis of large-scale data sets via clustering techniques is utilized in a number of applications. Biclustering in particular has emerged as an important problem...
Peter A. DiMaggio Jr., Scott R. McAllister, Christ...
COMPGEOM
2007
ACM
13 years 11 months ago
On approximate halfspace range counting and relative epsilon-approximations
The paper consists of two major parts. In the first part, we re-examine relative -approximations, previously studied in [12, 13, 18, 25], and their relation to certain geometric p...
Boris Aronov, Sariel Har-Peled, Micha Sharir
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 1 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
VLDB
1998
ACM
101views Database» more  VLDB 1998»
13 years 11 months ago
On Optimal Node Splitting for R-trees
The problem of finding an optimal bipartition of a rectangle set has a direct impact on query performance of dynamic R-trees. During update operations, overflowed nodes need to be...
Yván J. García, Mario A. Lopez, Scot...