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COCO
2001
Springer
102views Algorithms» more  COCO 2001»
13 years 9 months ago
Separation of NP-Completeness Notions
We use hypotheses of structural complexity theory to separate various NP-completeness notions. In particular, we introduce an hypothesis from which we describe a set in NP that is...
Aduri Pavan, Alan L. Selman
COCO
2001
Springer
135views Algorithms» more  COCO 2001»
13 years 9 months ago
Simple Analysis of Graph Tests for Linearity and PCP
We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite field...
Johan Håstad, Avi Wigderson
COCO
2001
Springer
154views Algorithms» more  COCO 2001»
13 years 9 months ago
Quantum Algorithms for Element Distinctness
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
Harry Buhrman, Christoph Dürr, Mark Heiligman...
COCO
2001
Springer
161views Algorithms» more  COCO 2001»
13 years 9 months ago
Communication Complexity Lower Bounds by Polynomials
The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPRpairs). Some lower boun...
Harry Buhrman, Ronald de Wolf
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
13 years 9 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