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SODA
1992
ACM
179views Algorithms» more  SODA 1992»
13 years 9 months ago
Approximating the Minimum Weight Triangulation
We show that the length of the minimum weight Steiner triangulation (MWST) of a point set can be approximated within a constant factor by a triangulation algorithm based on quadtr...
David Eppstein
TOC
2008
94views more  TOC 2008»
13 years 8 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 8 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
SIAMSC
2008
123views more  SIAMSC 2008»
13 years 8 months ago
Balanced Incomplete Factorization
In this paper we present a new incomplete factorization of a square matrix into triangular factors in which we get standard LU or LDLT factors (direct factors) and their inverses (...
Rafael Bru, José Marín, José ...
ICCSA
2004
Springer
14 years 1 months ago
A Robust and Fast Algorithm for Computing Exact and Approximate Shortest Visiting Routes
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...
Håkan Jonsson