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» Hardness of routing with congestion in directed graphs
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ECCC
2006
88views more  ECCC 2006»
13 years 4 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 4 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 4 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»
13 years 10 months 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 4 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&...