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FOCM
2002
108views more  FOCM 2002»
14 years 11 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
COMPGEOM
1999
ACM
15 years 3 months ago
Interval Methods for Kinetic Simulations
We propose a speed-up method for discrete-event simulations, including sweep-line or -plane techniques, requiring the repeated calculation of the times at which certain discrete e...
Leonidas J. Guibas, Menelaos I. Karavelas
COMPGEOM
2009
ACM
15 years 5 months ago
PTAS for geometric hitting set problems via local search
We consider the problem of computing minimum geometric hitting sets in which, given a set of geometric objects and a set of points, the goal is to compute the smallest subset of p...
Nabil H. Mustafa, Saurabh Ray
STOC
2000
ACM
156views Algorithms» more  STOC 2000»
15 years 3 months ago
Near optimal multiple alignment within a band in polynomial time
Multiple sequence alignment is a fundamental problem in computational biology. Because of its notorious difficulties, aligning sequences within a constant band (c-diagonal) is a ...
Ming Li, Bin Ma, Lusheng Wang
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 4 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...