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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
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 5 months ago
Truthful Unsplittable Flow for Large Capacity Networks
The unsplittable flow problem is one of the most extensively studied optimization problems in the field of networking. An instance of it consists of an edge capacitated graph and ...
Yossi Azar, Iftah Gamzu, Shai Gutner
TAMC
2009
Springer
13 years 12 months ago
A Simple Greedy Algorithm for the k-Disjoint Flow Problem
In classical network flow theory the choice of paths, on which flow is sent, is only restricted by arc capacities. This, however, is not realistic in most applications. Many prob...
Maren Martens
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
13 years 11 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke
COMGEO
2012
ACM
12 years 1 months ago
Routing multi-class traffic flows in the plane
We study a class of multi-commodity flow problems in geometric domains: For a given planar domain P populated with obstacles (holes) of K ≥ 2 types, compute a set of thick path...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...