Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Wednesday, September 12, 2012, 12:15 pm

Duration: 30 minutes

Location: NO C44

Speaker: Ignaz Rutter (Karlsruhe Institute of Technology (KIT))

Cubic Augmentation of Planar Graphs

We study the problem of augmenting a planar graph such that it becomes 3-regular and remains planar. We show that it is NP-hard to decide whether such an augmentation exists. On the other hand, we give an efficient algorithm for the variant of the problem where the input graph has a fixed planar (topological) embedding that has to be preserved by the augmentation. We further generalize this algorithm to test efficiently whether a 3-regular planar augmentation exists that additionally makes the input graph connected or biconnected.

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