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LATIN
2010
Springer
13 years 6 months ago
The Interval Constrained 3-Coloring Problem
Abstract In this paper, we settle the open complexity status of interval constrained coloring with a fixed number of colors. We prove that the problem is already NP-complete if th...
Jaroslaw Byrka, Andreas Karrenbauer, Laura Sanit&a...
LATIN
2010
Springer
14 years 2 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 2 months ago
Some Observations on Holographic Algorithms
Abstract. We define the notion of diversity for families of finite functions, and express the limitations of a simple class of holographic algorithms in terms of limitations on d...
Leslie G. Valiant
LATIN
2010
Springer
14 years 21 days ago
Finding the Minimum-Distance Schedule for a Boundary Searcher with a Flashlight
Consider a dark polygonal region in which intruders move freely, trying to avoid detection. A robot, which is equipped with a flashlight, moves along the polygon boundary to illum...
Tsunehiko Kameda, Ichiro Suzuki, John Z. Zhang
LATIN
2010
Springer
14 years 2 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...