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...
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...
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...
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...
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...