2-Connectivity in Directed Graphs

Lundi 2 octobre 2017, 14h, P303

Giuseppe F. Italiano, Universita’ di Roma "Tor Vergata"

We survey some recent results on 2-edge and 2-vertex connectivity in directed graphs. Despite being complete analogs of the corresponding notions on undirected graphs, in digraphs 2-connectivity has a much richer and more complicated structure. For undirected graphs it has been known for over 40 years how to compute all bridges, articulation points, 2-edge- and 2-vertex-connected components in linear time, by simply using depth first search. In the case of digraphs, however, the very same problems have been much more challenging and have been tackled only very recently.