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SODA
2010
ACM
133views Algorithms» more  SODA 2010»
14 years 4 months ago
Testing additive integrality gaps
We consider the problem of testing whether the maximum additive integrality gap of a family of integer programs in standard form is bounded by a given constant. This can be viewed...
Friedrich Eisenbrand, Nicolai Hähnle, Dömötör ...
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
14 years 2 months ago
Integer Programming: Optimization and Evaluation Are Equivalent
Abstract We show that if one can find the optimal value of an integer programming problem min{cx : Ax ≥ b, x ∈ Zn +} in polynomial time, then one can find an optimal solution...
James B. Orlin, Abraham P. Punnen, Andreas S. Schu...
FOCS
2002
IEEE
14 years 14 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
CAP
2010
13 years 2 months ago
Polynomial homotopies on multicore workstations
Homotopy continuation methods to solve polynomial systems scale very well on parallel machines. In this paper we examine its parallel implementation on multiprocessor multicore wo...
Jan Verschelde, Genady Yoffe
MFCS
2009
Springer
14 years 2 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...