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COCOON
2008
Springer
13 years 6 months ago
Computing Maximum Flows in Undirected Planar Networks with Both Edge and Vertex Capacities
Abstract. We study the maximum flow problem in an undirected planar network with both edge and vertex capacities (EVC-network). A previous study reduces the minimum cut problem in ...
Xianchao Zhang, Weifa Liang, Guoliang Chen
TOC
2008
104views more  TOC 2008»
13 years 4 months ago
Single Source Multiroute Flows and Cuts on Uniform Capacity Networks
For an integer h 1, an elementary h-route flow is a flow along h edge disjoint paths between a source and a sink, each path carrying a unit of flow, and a single commodity h-rout...
Henning Bruhn, Jakub Cerný, Alexander Hall,...
FOCS
2004
IEEE
13 years 8 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 6 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
JAL
2006
89views more  JAL 2006»
13 years 4 months ago
Improved bounds for the unsplittable flow problem
In this paper we consider the unsplittable flow problem (UFP): given a directed or undirected network G = (V, E) with edge capacities and a set of terminal pairs (or requests) wit...
Petr Kolman, Christian Scheideler