Publication details
Parameterized Algorithms for Book Embedding Problems
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Proceedings |
| Conference | Graph Drawing and Network Visualization - 27th International Symposium, GD 2019 |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/chapter/10.1007%2F978-3-030-35802-0_28 |
| Doi | http://dx.doi.org/10.1007/978-3-030-35802-0_28 |
| Keywords | Parameterized Complexity |
| Description | 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. |