Friday, September 30, 2011 3:30 pm
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4:30 pm
EDT (GMT -04:00)
Augmenting undirected node-connectivity by one
Speaker: | Laszlo Vegh |
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Affiliation: | GeorgiaTech |
Room: | Mathematics & Computer Building (MC) 5158 |
Abstract:
In the node-connectivity augmentation problem, we want to add a minimum number of new edges to an undirected graph to make it k-node-connected. The complexity of this question is still open, although the analogous questions of both directed and undirected edge-connectivity and directed node-connectivity augmentation are known to be polynomially solvable.
In my talk, I present a min-max formula and a polynomial time algorithm for the special case when the input graph is already (k-1)-connected. The formula has been conjectured by Frank and Jordan in 1994.