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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 5 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 5 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 9 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»
13 years 11 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 9 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...