We present an O(m+n)-time algorithm that tests if a given directed graph is 2-vertex connected, where m is the number of arcs and n is the number of vertices. Based on this result we design an O(n)-space data structure that can compute in O(log2 n) time two internally vertex-disjoint paths from s to t, for any pair of query vertices s and t of a 2-vertex connected directed graph. The two paths can be reported in additional O(k) time, where k is their total length. © 2010 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Georgiadis, L. (2010). Testing 2-vertex connectivity and computing pairs of vertex-disjoint s-t paths in digraphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6198 LNCS, pp. 738–749). https://doi.org/10.1007/978-3-642-14165-2_62
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