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2008
94views more  TOC 2008»
13 years 10 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
SIAMCOMP
2000
101views more  SIAMCOMP 2000»
13 years 9 months ago
Motion Planning of Legged Robots
We study the problem of computing the free space F of a simple legged robot called the spider robot. The body of this robot is a single point and the legs are attached to the body....
Jean-Daniel Boissonnat, Olivier Devillers, Sylvain...
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
13 years 9 months ago
Constructive, Deterministic Implementation of Shared Memory on Meshes
This paper describes a scheme to implement a shared address space of size m on an n-node mesh, with m polynomial in n, where each mesh node hosts a processor and a memory module. A...
Andrea Pietracaprina, Geppino Pucci, Jop F. Sibeyn
COMBINATORICS
1998
100views more  COMBINATORICS 1998»
13 years 9 months ago
Lattice Paths Between Diagonal Boundaries
A bivariate symmetric backwards recursion is of the form d[m, n] = w0(d[m− 1, n]+d[m, n−1])+ω1(d[m−r1, n−s1]+d[m−s1, n−r1])+· · ·+ωk(d[m−rk, n−sk] +d[m−sk, ...
Heinrich Niederhausen
JAL
2002
113views more  JAL 2002»
13 years 9 months ago
A multivariate view of random bucket digital search trees
We take a multivariate view of digital search trees by studying the number of nodes of different types that may coexist in a bucket digital search tree as it grows under an arbitr...
Friedrich Hubalek, Hsien-Kuei Hwang, William Lew, ...