Disjoint paths in tournaments

Given k pairs of vertices (si, ti) (1≤i≤k) of a digraph G, how can we test whether there exist k vertex-disjoint directed paths from si to ti for 1≤i≤k? This is NP-complete in general digraphs, even for k=2 [2], but for k=2 there is a polynomial-time algorithm when G is a tournament (or more general...

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Bibliographic Details
Main Authors: Chudnovsky, M, Scott, A, Seymour, P
Format: Journal article
Published: Elsevier 2014