Bhore, S., Ganian, R., Montecchiani, F., & Nöllenburg, M. (2019). Parameterized Algorithms for Book Embedding Problems. In Graph Drawing and Network Visualization. GD 2019 (pp. 365–378). Springer. https://doi.org/10.1007/978-3-030-35802-0_28
E192-01 - Forschungsbereich Algorithms and Complexity
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Published in:
Graph Drawing and Network Visualization. GD 2019
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Volume:
11904
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Date (published):
2019
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Event name:
International Symposium on Graph Drawing and Network Visualization (GD 2019)
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Event date:
17-Sep-2019 - 20-Sep-2019
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Event place:
Prag, Czechia
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Number of Pages:
14
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Publisher:
Springer, Cham
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Peer reviewed:
Yes
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Abstract:
A k-page book embedding of a graph G draws the vertices of G on a line and the edges on k half-planes (called pages) bounded by this line, such that no two edges on the same page cross. We study the problem of determining whether G admits a k-page book embedding both when the linear order of the vertices is fixed, called Fixed-Order Book Thickness, or not fixed, called Book Thickness. Both problems are known to be NP-complete in general. We show that Fixed-Order Book Thickness and Book Thickness are fixed-parameter tractable parameterized by the vertex cover number of the graph and that Fixed-Order Book Thickness is fixed-parameter tractable parameterized by the pathwidth of the vertex order.
