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arXiv · 2309.15454

The $st$-Planar Edge Completion Problem is Fixed-Parameter Tractable

Liana Khazaliya·Philipp Kindermann·Giuseppe Liotta·Fabrizio Montecchiani·Kirill Simonov
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Abstract

The problem of deciding whether a biconnected planar digraph $G=(V,E)$ can be augmented to become an $st$-planar graph by adding a set of oriented edges $E' \subseteq V \times V$ is known to be NP-complete. We show that the problem is fixed-parameter tractable when parameterized by the size of the set $E'$.

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Liana Khazaliya, Philipp Kindermann, Giuseppe Liotta, Fabrizio Montecchiani, Kirill Simonov. 2023-09-27. The $st$-Planar Edge Completion Problem is Fixed-Parameter Tractable. https://arxiv.org/abs/2309.15454

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