Fixed-Order Book Thickness is fixed-parameter tractable by vertex cover number and by pathwidth of the vertex order, and Book Thickness is fixed-parameter tractable by vertex cover number.
Algorithmica 75(1), 158–185 (2016)
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Parameterized Algorithms for Book Embedding Problems
Fixed-Order Book Thickness is fixed-parameter tractable by vertex cover number and by pathwidth of the vertex order, and Book Thickness is fixed-parameter tractable by vertex cover number.