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» The Guarding Problem - Complexity and Approximation
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STOC
2007
ACM
83views Algorithms» more  STOC 2007»
16 years 5 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
FOCS
2008
IEEE
15 years 11 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
WADS
1997
Springer
89views Algorithms» more  WADS 1997»
15 years 9 months ago
Intractability of Assembly Sequencing: Unit Disks in the Plane
We consider the problem of removing a given disk from a collection of unit disks in the plane. At each step, we allow a disk to be removed by a collision-free translation to infin...
Michael H. Goldwasser, Rajeev Motwani
ATAL
2008
Springer
15 years 6 months ago
Decentralised coordination of low-power embedded devices using the max-sum algorithm
This paper considers the problem of performing decentralised coordination of low-power embedded devices (as is required within many environmental sensing and surveillance applicat...
Alessandro Farinelli, Alex Rogers, Adrian Petcu, N...
CORR
2010
Springer
190views Education» more  CORR 2010»
15 years 4 months ago
Bidimensionality and EPTAS
Bidimensionality theory appears to be a powerful framework for the development of metaalgorithmic techniques. It was introduced by Demaine et al. [J. ACM 2005 ] as a tool to obtai...
Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman...