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CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 5 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
ATMOS
2010
134views Optimization» more  ATMOS 2010»
13 years 4 months ago
Vertex Disjoint Paths for Dispatching in Railways
We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization...
Holger Flier, Matús Mihalák, Anita S...
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 10 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
CORR
2012
Springer
195views Education» more  CORR 2012»
12 years 1 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
FCT
1995
Springer
13 years 9 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...