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LATIN
2010
Springer
14 years 7 months ago
Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials
We present a lattice algorithm specifically designed for some classical applications of lattice reduction. The applications are for lattice bases with a generalized knapsack-type ...
Mark van Hoeij, Andrew Novocin
LATIN
2010
Springer
14 years 7 months ago
Colorful Strips
We study the following geometric hypergraph coloring problem: given a planar point set and an integer k, we wish to color the points with k colors so that any axis-aligned strip co...
Greg Aloupis, Jean Cardinal, Sébastien Coll...
LATIN
2010
Springer
14 years 7 months ago
Kernelization through Tidying
Abstract. We introduce the NP-hard graph-based data clustering problem s-Plex Cluster Vertex Deletion, where the task is to delete at most k vertices from a graph so that the conne...
René van Bevern, Hannes Moser, Rolf Niederm...
LATIN
2010
Springer
14 years 7 months ago
Compact Rich-Functional Binary Relation Representations
Binary relations are an important abstraction arising in a number of data representation problems. Each existing data structure specializes in the few basic operations required by ...
Jérémy Barbay, Francisco Claude, Gon...
LATIN
2010
Springer
14 years 7 months ago
The Size and Depth of Layered Boolean Circuits
We consider the relationship between size and depth for layered Boolean circuits, synchronous circuits and planar circuits as well as classes of circuits with small separators. In ...
Anna Gál, Jing-Tang Jang
LATIN
2010
Springer
14 years 7 months ago
The Language Theory of Bounded Context-Switching
Concurrent compositions of recursive programs with finite a natural abstraction model for concurrent programs. Since reachability is undecidable for this class, a restricted form ...
Salvatore La Torre, Parthasarathy Madhusudan, Genn...
LATIN
2010
Springer
14 years 7 months ago
Modelling the LLL Algorithm by Sandpiles
Abstract The LLL algorithm aims at finding a “reduced” basis of a Euclidean lattice. The LLL algorithm plays a primary role in many areas of mathematics and computer science. ...
Manfred Madritsch, Brigitte Vallée
LATIN
2010
Springer
14 years 7 months ago
Layered Working-Set Trees
The working-set bound [Sleator and Tarjan, J. ACM, 1985] roughly states that searching for an element is fast if the element was accessed recently. Binary search trees, such as sp...
Prosenjit Bose, Karim Douïeb, Vida Dujmovic, ...