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arXiv · 1408.6321

Crossing Minimization for 1-page and 2-page Drawings of Graphs with Bounded Treewidth

Michael J. Bannister·David Eppstein
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Abstract

We investigate crossing minimization for 1-page and 2-page book drawings. We show that computing the 1-page crossing number is fixed-parameter tractable with respect to the number of crossings, that testing 2-page planarity is fixed-parameter tractable with respect to treewidth, and that computing the 2-page crossing number is fixed-parameter tractable with respect to the sum of the number of crossings and the treewidth of the input graph. We prove these results via Courcelle's theorem on the fixed-parameter tractability of properties expressible in monadic second order logic for graphs of bounded treewidth.

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Michael J. Bannister, David Eppstein. 2014-08-27. Crossing Minimization for 1-page and 2-page Drawings of Graphs with Bounded Treewidth. https://doi.org/10.7155/jgaa.00479

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