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ANTS
2010
Springer
262views Algorithms» more  ANTS 2010»
13 years 10 months ago
Short Bases of Lattices over Number Fields
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
Claus Fieker, Damien Stehlé
COMPGEOM
2007
ACM
13 years 10 months ago
Kinetic KD-trees and longest-side KD-trees
We propose a simple variant of kd-trees, called rank-based kd-trees, for sets of points in Rd . We show that a rank-based kd-tree, like an ordinary kd-tree, supports range search ...
Mohammad Ali Abam, Mark de Berg, Bettina Speckmann
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 7 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
SPAA
2004
ACM
14 years 3 days ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 26 days ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet