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Fixed parameter tractability of crossing minimization of almost-trees

We investigate exact crossing minimization for graphs that differ from trees by a small number of additional edges, for several variants of the crossing minimization problem. In particular, we provide fixed parameter tractable algorithms for the 1-page book crossing number, the 2-page book crossing number, and the minimum number of crossed edges in 1-page and 2-page book drawings.

preprint2013arXivOpen access
Michael J. BannisterDavid EppsteinJoseph A. Simons
Data Structures and AlgorithmsComputational Geometry
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Michael J. BannisterDavid EppsteinJoseph A. Simons

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