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» Applications of integer relation algorithms
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DM
2000
76views more  DM 2000»
13 years 4 months ago
Applications of integer relation algorithms
Let a be a vector of real numbers. By an integer relation for a we mean a non-zero integer vector c such that caT = 0. We discuss the algorithms for nding such integer relations f...
Jonathan M. Borwein, Petr Lisonek
COCOA
2009
Springer
13 years 8 months ago
Computing the Transitive Closure of a Union of Affine Integer Tuple Relations
Abstract. This paper proposes a method to compute the transitive closure of a union of affine relations on integer tuples. Within Presburger arithmetics, complete algorithms to com...
Anna Beletska, Denis Barthou, Wlodzimierz Bielecki...
ISAAC
2009
Springer
121views Algorithms» more  ISAAC 2009»
13 years 11 months ago
Generalized Reduction to Compute Toric Ideals
Toric ideals have many applications including solving integer programs. Several algorithms for computing the toric ideal of an integer matrix are available in the literature. Since...
Deepanjan Kesh, Shashank K. Mehta
MOR
2000
162views more  MOR 2000»
13 years 4 months ago
Approximation Algorithms for Disjoint Paths and Related Routing and Packing Problems
Given a network and a set of connection requests on it, we consider the maximum edge-disjoint paths and related generalizations and routing problems that arise in assigning paths f...
Alok Baveja, Aravind Srinivasan
CHES
2005
Springer
83views Cryptology» more  CHES 2005»
13 years 10 months ago
Fast Truncated Multiplication for Cryptographic Applications
The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms...
Laszlo Hars