We present a randomized algorithm to nd a minimum spanning forest (MSF) in an undirected graph. With high probability, the algorithm runs in logarithmic time and linear work on an...
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
The connectivity of the Internet crucially depends on the relationships between thousands of Autonomous Systems (ASes) that exchange routing information using the Border Gateway P...
We present an algorithm for finding shortest surface non-separating cycles in graphs embedded on surfaces in O(g3/2 V 3/2 log V + g5/2 V 1/2 ) time, where V is the number of vert...