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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
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 9 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
WADS
2005
Springer
145views Algorithms» more  WADS 2005»
13 years 10 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...
SOFSEM
2007
Springer
13 years 11 months ago
Algorithmic Aspects of Minimum Energy Edge-Disjoint Paths in Wireless Networks
The problem of finding k minimum energy, edge-disjoint paths in wireless networks (MEEP) arises in the context of routing and belongs to the class of range assignment problems. A ...
Markus Maier, Steffen Mecke, Dorothea Wagner
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 5 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause