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COCO
2001
Springer
142views Algorithms» more  COCO 2001»
15 years 11 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
DAC
1989
ACM
15 years 11 months ago
Fast Hypergraph Partition
We present a new 0 (n2) heuristic for hypergraph min-cut bipartitioning, an important problem in circuit placement. Fastest previous methods for this problem are O(n2 log n). Our ...
Andrew B. Kahng
SAT
2010
Springer
141views Hardware» more  SAT 2010»
15 years 11 months ago
Synthesizing Shortest Linear Straight-Line Programs over GF(2) Using SAT
Non-trivial linear straight-line programs over the Galois field of two elements occur frequently in applications such as encryption or high-performance computing. Finding the shor...
Carsten Fuhs, Peter Schneider-Kamp
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
15 years 8 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
JSAT
2006
108views more  JSAT 2006»
15 years 7 months ago
Translating Pseudo-Boolean Constraints into SAT
In this paper, we describe and evaluate three different techniques for translating pseudoboolean constraints (linear constraints over boolean variables) into clauses that can be h...
Niklas Eén, Niklas Sörensson