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» A New Approach to Strongly Polynomial Linear Programming
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SODA
2000
ACM
120views Algorithms» more  SODA 2000»
13 years 5 months ago
Minimum ratio canceling is oracle polynomial for linear programming, but not strongly polynomial, even for networks
This paper shows that the minimum ratio canceling algorithm of Wallacher (1989) (and a faster relaxed version) can be generalized to an algorithm for general linear programs with ...
S. Thomas McCormick, Akiyoshi Shioura
JCT
2000
103views more  JCT 2000»
13 years 4 months ago
A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time
We give a strongly polynomial-time algorithm minimizing a submodular function f given by a value-giving oracle. The algorithm does not use the ellipsoid method or any other linear ...
Alexander Schrijver
COCOON
2005
Springer
13 years 10 months ago
Bicriteria Network Design via Iterative Rounding
We study the edge-connectivity survivable network design problem with an additional linear budget constraint. We give a strongly polynomial time (3, 3)-approximation algorithm for ...
Piotr Krysta
SIAMDM
2010
101views more  SIAMDM 2010»
12 years 11 months ago
Rationality and Strongly Polynomial Solvability of Eisenberg--Gale Markets with Two Agents
Inspired by the convex program of Eisenberg and Gale which captures Fisher markets with linear utilities, Jain and Vazirani [STOC, 2007] introduced the class of EisenbergGale (EG)...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....