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SODA
2010
ACM
278views Algorithms» more  SODA 2010»
14 years 2 months ago
The edge disjoint paths problem in Eulerian graphs and $4$-edge-connected graphs
We consider the following well-known problem, which is called the edge-disjoint paths problem. Input: A graph G with n vertices and m edges, k pairs of vertices (s1, t1), (s2, t2)...
Ken-ichi Kawarabayashi, Yusuke Kobayashi
FOCS
1995
IEEE
13 years 8 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
13 years 3 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
FOCS
2005
IEEE
13 years 10 months ago
An Approximation Algorithm for the Disjoint Paths Problem in Even-Degree Planar Graphs
In joint work with ´Eva Tardos in 1995, we asked whether it was possible to obtain a polynomial-time, polylogarithmic approximation algorithm for the disjoint paths problem in th...
Jon M. Kleinberg
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