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In joint work with ´Eva Tardos in 1995, we asked whether it was possible to obtain a polynomial-time, polylogarithmic approximation algorithm for the disjoint paths problem in th...
We consider the following well-known problem, which is called the edge-disjoint paths problem. Input: A graph G with n vertices and m edges, k pairs of vertices (s1, t1), (s2, t2)...
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...
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...