5 papers
On the -Bend Slope Number of -Planar Graphs
Michael A. Bekos, Eleni Katsanou, Philipp Kindermann +3
While drawing planar graphs with few slopes and few bends is a well-studied problem, corresponding extensions to beyond-planar graphs still remain mostly unexplored. Motivated by t…
Weighted Book Thickness
Henry Förster, Michael Hoffmann, Stephen Kobourov +3
We introduce and study the weighted book thickness of graphs. A -page book embedding of a graph is defined by a spanning cycle for (which does not need to be p…
On the Recognition of Outerplanar Graphs with Queue Number 1
Michael A. Bekos, Thomas Depian, Stefan Felsner +7
A linear layout of a graph is defined as a total order of the vertices and a partition of the edges to pages. In a stack (queue) layout, no two edges on the same page may cross (ne…
Stack and Queue Layouts with Defects
Michael A. Bekos, Carla Binucci, Emilio Di Giacomo +5
Linear layouts of graphs -- particularly \emph{stack} and \emph{queue} layouts -- are well-established types of representations in graph drawing, thanks to their connection with nu…
How Many Slopes Does Polynomial Area Cost?
Michael A. Bekos, Eleni Katsanou, Philipp Kindermann +1
In this work, we study the interplay between the number of slopes, the number of bends per edge, and the area requirements for planar drawings of bounded-degree graphs. Our motivat…