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ARC Colloquium: Laszlo Vegh , Eovtos Lorand University

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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. I also give an overview of the other three augmentation problems.

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Status

  • Workflow Status:Published
  • Created By:Elizabeth Ndongi
  • Created:11/16/2011
  • Modified By:Fletcher Moore
  • Modified:10/07/2016

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