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FOCS
2005
IEEE
13 years 11 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
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
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
13 years 11 months ago
Approximation Algorithms for Forests Augmentation Ensuring Two Disjoint Paths of Bounded Length
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
Victor Chepoi, Bertrand Estellon, Yann Vaxè...
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