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» Applications of integer relation algorithms
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WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 4 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
EOR
2006
83views more  EOR 2006»
13 years 9 months ago
Lower bounds and heuristic algorithms for the k
We consider the problem of partitioning a set of positive integers values into a given number of subsets, each having an associated cardinality limit, so that the maximum sum of v...
Mauro Dell'Amico, Manuel Iori, Silvano Martello, M...
JAR
2006
236views more  JAR 2006»
13 years 9 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
SPIRE
1999
Springer
14 years 2 months ago
Linear Time Sorting of Skewed Distributions
This work presents an e cient linear average time algorithm to sort lists of integers that follow skewed distributions. It also studies a particular case where the list follows th...
Edleno Silva de Moura, Gonzalo Navarro, Nivio Zivi...
STOC
2003
ACM
164views Algorithms» more  STOC 2003»
14 years 10 months ago
Approximate counting by dynamic programming
We give efficient algorithms to sample uniformly, and count approximately, the solutions to a zero-one knapsack problem. The algorithm is based on using dynamic programming to pro...
Martin E. Dyer