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LATIN
2010
Springer
15 years 3 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...
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LATIN
2010
Springer
15 years 11 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
15 years 11 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
15 years 9 months 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
15 years 11 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...