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FOCS
1992
IEEE
13 years 8 months ago
Computing in Solvable Matrix Groups
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
Eugene M. Luks
COCO
1993
Springer
78views Algorithms» more  COCO 1993»
13 years 8 months ago
The Quantitative Structure of Exponential Time
Recently Lutz [14,15] introduced a polynomial time bounded version of Lebesgue measure. He and others (see e.g. [11,13,14,15,16,17,18,20]) used this concept to investigate the quan...
Jack H. Lutz
PKC
1999
Springer
96views Cryptology» more  PKC 1999»
13 years 8 months ago
How to Copyright a Function?
This paper introduces a method for tracking different copies of functionally equivalent algorithms containing identification marks known to the attacker. Unlike all previous solu...
David Naccache, Adi Shamir, Julien P. Stern
COCOON
1999
Springer
13 years 9 months ago
Distributionally-Hard Languages
Cai and Selman [CS99] defined a modification of Levin’s notion of average polynomial time and proved, for every P-bi-immune language L and every polynomial-time computable dis...
Lance Fortnow, Aduri Pavan, Alan L. Selman
FOCS
1999
IEEE
13 years 9 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
COLT
2001
Springer
13 years 9 months ago
On Learning Monotone DNF under Product Distributions
We show that the class of monotone 2O( √ log n)-term DNF formulae can be PAC learned in polynomial time under the uniform distribution from random examples only. This is an expo...
Rocco A. Servedio
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 9 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
GD
2009
Springer
13 years 9 months ago
On Planar Supports for Hypergraphs
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
Kevin Buchin, Marc J. van Kreveld, Henk Meijer, Be...
ICALP
2010
Springer
13 years 9 months ago
The Positive Semidefinite Grothendieck Problem with Rank Constraint
Given a positive integer n and a positive semidefinite matrix A = (Aij ) ∈ Rm×m the positive semidefinite Grothendieck problem with rank-nconstraint is (SDPn) maximize mX i=1 ...
Jop Briët, Fernando Mário de Oliveira ...
SIGECOM
2003
ACM
122views ECommerce» more  SIGECOM 2003»
13 years 9 months ago
On polynomial-time preference elicitation with value queries
Preference elicitation — the process of asking queries to determine parties’ preferences — is a key part of many problems in electronic commerce. For example, a shopping age...
Martin Zinkevich, Avrim Blum, Tuomas Sandholm