A Note on Computing a Maximal Planar Subgraph using PQ-Trees

Jünger, Michael and Leipert, Sebastian and Mutzel, Petra (1998) A Note on Computing a Maximal Planar Subgraph using PQ-Trees. [Preprint]

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Abstract

The problem of computing a maximal planar subgraph of a non planar graph has been deeply investigated over the last 20 years. Several attempts have been tried to solve the problem with the help of PQ-trees. The latest attempt has been reported by Jayakumar et al. (1989). In this paper we show that the algorithm presented by Jayakumar et al. is not correct. We show that it does not necessarily compute a maximal planar subgraph and we note that the same holds for a modified version of the algorithm presented by Kant (1992). Our conclusions most likely suggest not to use PQ-trees at all for this specific problem.

Item Type: Preprint
Additional Information: 10.1109/43.709399
Classifications: P Styles > P.540 Planar
G Algorithms and Complexity > G.840 Planarization
M Methods > M.700 Planarization-based
URI: http://gdea.informatik.uni-koeln.de/id/eprint/19

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