Obtaining planarity by contracting few edges

Authors:
Petr A. Golovach;Pim Van T Hof;Daniël Paulusma
Affiliations:
Department of Informatics, University of Bergen, Norway;Department of Informatics, University of Bergen, Norway;School of Engineering and Computing Sciences, Durham University, UK
Venue:
Theoretical Computer Science
Year:
2013

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Abstract

The Planar Contraction problem is to test whether a given graph can be made planar by using at most k edge contractions. This problem is known to be NP-complete. We show that it is fixed-parameter tractable when parameterized by k.