Talks and Poster Presentations (with Proceedings-Entry):
S. Bhore, R. Ganian, F. Montecchiani, M. Nöllenburg:
"Parameterized Algorithms for Book Embedding Problems";
Talk: Graph Drawing and Network Visualization,
Prag;
2019-09-17
- 2019-09-20; in: "GD 2019: Graph Drawing and Network Visualization",
LNCS,
11904
(2019),
ISBN: 978-3-030-35801-3;
365
- 378.
English 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.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/978-3-030-35802-0_28
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_284557.pdf
Created from the Publication Database of the Vienna University of Technology.