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» Hardness of routing with congestion in directed graphs
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ECCC
2006
88views more  ECCC 2006»
13 years 6 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
14 years 6 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...
ECCC
2007
147views more  ECCC 2007»
13 years 6 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
STOC
2006
ACM
113views Algorithms» more  STOC 2006»
14 years 7 days ago
Logarithmic hardness of the directed congestion minimization problem
We show that for any constant ε > 0, there is no Ω(log1−ε M)approximation algorithm for the directed congestion minimization problem on networks of size M unless NP ⊆ Z...
Matthew Andrews, Lisa Zhang
JACM
2007
121views more  JACM 2007»
13 years 6 months ago
(Almost) Tight bounds and existence theorems for single-commodity confluent flows
A flow of a commodity is said to be confluent if at any node all the flow of the commodity leaves along a single edge. In this paper we study single-commodity confluent flow pro...
Jiangzhuo Chen, Robert D. Kleinberg, Lászl&...