Publications in Scientific Journals:
S. Bhore, R. Ganian, F. Montecchiani, M. Nöllenburg:
"Parameterized Algorithms for Book Embedding Problems";
Journal of Graph Algorithms and Applications,
24
(2020),
4;
603
- 620.
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 xed, called Fixed-Order Book Thick-
ness, or not xed, called Book Thickness. Both problems are known to
be NP-complete in general. We show that Fixed-Order Book Thick-
ness and Book Thickness are xed-parameter tractable parameterized
by the vertex cover number of the graph and that Fixed-Order Book
Thickness is xed-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/10.7155/jgaa.00526
Electronic version of the publication:
https://publik.tuwien.ac.at/files/publik_292465.pdf
Created from the Publication Database of the Vienna University of Technology.