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STOC
2006
ACM
92views Algorithms» more  STOC 2006»
14 years 7 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount
DCOSS
2009
Springer
14 years 1 months ago
Cheap or Flexible Sensor Coverage
We consider dual classes of geometric coverage problems, in which disks, corresponding to coverage regions of sensors, are used to cover a region or set of points in the plane. The...
Amotz Bar-Noy, Theodore Brown, Matthew P. Johnson,...
COMPGEOM
2005
ACM
13 years 9 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
COMPGEOM
2001
ACM
13 years 11 months ago
Discrete mobile centers
We propose a new randomized algorithm for maintaining a set of clusters among moving nodes in the plane. Given a specified cluster radius, our algorithm selects and maintains a va...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
SODA
2004
ACM
151views Algorithms» more  SODA 2004»
13 years 8 months ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi