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What and Who

Cubic Augmentation of Planar Graphs

Ignaz Rutter
KIT Karlsruhe
AG1 Mittagsseminar (own work)
AG 1, RG1, MMCI  
AG Audience
English

Date, Time and Location

Tuesday, 4 September 2012
13:00
30 Minutes
MPI-INF, Geb E1 4
023
Saarbrücken

Abstract

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.

Contact

Carola Winzen
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Carola Winzen, 09/03/2012 16:55
Carola Winzen, 09/02/2012 11:15
Carola Winzen, 09/02/2012 11:15 -- Created document.