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ESA
2007
Springer
130views Algorithms» more  ESA 2007»
13 years 11 months ago
Convex Combinations of Single Source Unsplittable Flows
In the single source unsplittable flow problem, commodities must be routed simultaneously from a common source vertex to certain destination vertices in a given digraph. The deman...
Maren Martens, Fernanda Salazar, Martin Skutella
STOC
2006
ACM
112views Algorithms» more  STOC 2006»
14 years 5 months ago
A quasi-PTAS for unsplittable flow on line graphs
We study the Unsplittable Flow Problem (UFP) on a line graph, focusing on the long-standing open question of whether the problem is APX-hard. We describe a deterministic quasi-pol...
Nikhil Bansal, Amit Chakrabarti, Amir Epstein, Bar...
SODA
2000
ACM
120views Algorithms» more  SODA 2000»
13 years 6 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
ESA
2004
Springer
145views Algorithms» more  ESA 2004»
13 years 10 months ago
Flows on Few Paths: Algorithms and Lower Bounds
Abstract. Classical network flow theory allows decomposition of flow into several chunks of arbitrary sizes traveling through the network on different paths. In the first part ...
Maren Martens, Martin Skutella