A strongly polynomial algorithm to solve combinatorial linear programs
Operations Research
Theory of linear and integer programming
Theory of linear and integer programming
Using separation algorithms in fixed dimension
Journal of Algorithms
Strongly polynomial-time and NC algorithms for detecting cycles in periodic graphs
Journal of the ACM (JACM)
Applying Parallel Computation Algorithms in the Design of Serial Algorithms
Journal of the ACM (JACM)
Linear Programming in Linear Time When the Dimension Is Fixed
Journal of the ACM (JACM)
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Norton, Plotkin and Tardos proved that-loosely spoken, an LP problem is solvable in time O(Tq^k^+^1) if deleting k fixed columns or rows, we obtain a problem which can be solved by an algorithm that makes at most T steps and q comparisons. This paper improves this running time to O(Tq^k).