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Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs

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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 with s; let t1, . . . , tk be vertices incident with t. We give an algorithm to compute k pairwise vertex-disjoint paths connecting the pairs (si, ti) in G, with minimal total length, in O(kn log n) time.
Éric Colin de Verdière, Alexander Sc
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CORR
Authors Éric Colin de Verdière, Alexander Schrijver
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