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» The Complexity of Polynomial-Time Approximation
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LICS
2008
IEEE
14 years 2 months ago
The Quest for a Logic Capturing PTIME
The question of whether there is a logic that captures polynomial time is the central open problem in descriptive complexity theory. In my talk, I will review the question and the...
Martin Grohe
BIRTHDAY
2010
Springer
13 years 5 months ago
A Logic for PTIME and a Parameterized Halting Problem
In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...
Yijia Chen, Jörg Flum
CORR
2012
Springer
193views Education» more  CORR 2012»
12 years 3 months ago
Search versus Decision for Election Manipulation Problems
Most theoretical definitions about the complexity of manipulating elections focus on the decision problem of recognizing which instances can be successfully manipulated, rather t...
Edith Hemaspaandra, Lane A. Hemaspaandra, Curtis M...
NETWORKS
2006
13 years 7 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
FOCS
1999
IEEE
13 years 12 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan