Technical Report CS0559

Title: General Vertex Disjoint Paths in Series-Parallel Graphs
Authors: E. Korach and A. Tal
Abstract: Let G=(V,E) be an undirected graph and let (si,ti) 1<=i<=k be k pairs of vertices in G. The vertex disjoint paths problem is to find k paths P1...,Pk such that Pi connects si and ti and any two of these paths may intersect only at a common end point. This problem is NP-complete even for planar graphs. Robertson and Seymour proved that when k is a fixed integer this problem becomes polynomial. We present a linear time algorithm for solving the general problem when the input graph is a series-parallel graph.
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