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STOC
2002
ACM
126views Algorithms» more  STOC 2002»
15 years 10 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren
GIS
2006
ACM
15 years 10 months ago
Generalization of land cover maps by mixed integer programming
We present a novel method for the automatic generalization of land cover maps. A land cover map is composed of areas that collectively form a tessellation of the plane and each ar...
Jan-Henrik Haunert, Alexander Wolff
JCT
2007
99views more  JCT 2007»
14 years 9 months ago
Independence for partition regular equations
A matrix A is said to be partition regular (PR) over a subset S of the positive integers if whenever S is finitely coloured, there exists a vector x, with all elements in the sam...
Imre Leader, Paul A. Russell
DAGSTUHL
2004
14 years 11 months ago
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings
We study the optimal approximation of the solution of an operator equation A(u) = f by four types of mappings: a) linear mappings of rank n; b) n-term approximation with respect t...
Erich Novak, Stephan Dahlke, Winfried Sickel
CSR
2009
Springer
14 years 10 months ago
Approximability of the Maximum Solution Problem for Certain Families of Algebras
We study the approximability of the maximum solution problem. This problem is an optimisation variant of the constraint satisfaction problem and it captures a wide range of interes...
Peter Jonsson, Johan Thapper