21 citations · 92 across the 45 of their papers we have counts for
67 papers
Product Structure Meets Track Layouts
Michael A. Bekos, Giordano Da Lozzo, Petr Hliněný +1
A track layout of a graph is a partition of its vertices into linearly ordered independent sets, called tracks, such that no two edges between the same pair of tracks cross. Given…
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…
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…
On Planar Straight-Line Dominance Drawings
Patrizio Angelini, Michael A. Bekos, Giuseppe Di Battista +3
We study the following question, which has been considered since the 90's: Does every -planar graph admit a planar straight-line dominance drawing? We show concrete evidence fo…
Internally-Convex Drawings of Outerplanar Graphs in Small Area
Michael A. Bekos, Giordano Da Lozzo, Fabrizio Frati +2
A well-known result by Kant [Algorithmica, 1996] implies that -vertex outerplane graphs admit embedding-preserving planar straight-line grid drawings where the internal faces ar…
Weakly Leveled Planarity with Bounded Span
Michael Bekos, Giordano Da Lozzo, Fabrizio Frati +5
This paper studies planar drawings of graphs in which each vertex is represented as a point along a sequence of horizontal lines, called levels, and each edge is either a horizonta…
On -planar Graphs without Short Cycles
Michael A. Bekos, Prosenjit Bose, Aaron Büngener +6
We study the impact of forbidding short cycles to the edge density of -planar graphs; a -planar graph is one that can be drawn in the plane with at most crossings per edg…
Proceedings of the 31st International Symposium on Graph Drawing and Network Visualization (GD 2023)
Michael A. Bekos, Markus Chimani
This is the arXiv index for the electronic proceedings of GD 2023, which contains the peer-reviewed and revised accepted papers with an optional appendix. Proceedings (without appe…
Axis-Parallel Right Angle Crossing Graphs
Patrizio Angelini, Michael A. Bekos, Julia Katheder +3
A RAC graph is one admitting a RAC drawing, that is, a polyline drawing in which each crossing occurs at a right angle. Originally motivated by psychological studies on readability…
On the Deque and Rique Numbers of Complete and Complete Bipartite Graphs
Michael A. Bekos, Michael Kaufmann, Maria Eleni Pavlidi +1
Several types of linear layouts of graphs are obtained by leveraging known data structures; the most notable representatives are the stack and the queue layouts. In this content, g…
Splitting Vertices in 2-Layer Graph Drawings
Reyan Ahmed, Patrizio Angelini, Michael A. Bekos +8
Bipartite graphs model the relationships between two disjoint sets of entities in several applications and are naturally drawn as 2-layer graph drawings. In such drawings, the two…
The Rique-Number of Graphs
Michael A. Bekos, Stefan Felsner, Philipp Kindermann +3
We continue the study of linear layouts of graphs in relation to known data structures. At a high level, given a data structure, the goal is to find a linear order of the vertices…
Strictly-Convex Drawings of -Connected Planar Graphs
Michael A. Bekos, Martin Gronemann, Fabrizio Montecchiani +1
Strictly-convex straight-line drawings of -connected planar graphs in small area form a classical research topic in Graph Drawing. Currently, the best-known area bound for such…
Recognizing DAGs with Page-Number 2 is NP-complete
Michael A. Bekos, Giordano Da Lozzo, Fabrizio Frati +3
The page-number of a directed acyclic graph (a DAG, for short) is the minimum for which the DAG has a topological order and a -coloring of its edges such that no two edges o…
RAC Drawings of Graphs with Low Degree
Patrizio Angelini, Michael A. Bekos, Julia Katheder +2
Motivated by cognitive experiments providing evidence that large crossing-angles do not impair the readability of a graph drawing, RAC (Right Angle Crossing) drawings were introduc…
Recognizing Map Graphs of Bounded Treewidth
Patrizio Angelini, Michael A. Bekos, Giordano Da Lozzo +3
A map graph is a graph admitting a representation in which vertices are nations on a spherical map and edges are shared curve segments or points between nations. We present an expl…
Convex Grid Drawings of Planar Graphs with Constant Edge-Vertex Resolution
Michael A. Bekos, Martin Gronemann, Fabrizio Montecchiani +1
We continue the study of the area requirement of convex straight-line grid drawings of 3-connected plane graphs, which has been intensively investigated in the last decades. Motiva…
Graph Product Structure for h-Framed Graphs
Michael A. Bekos, Giordano Da Lozzo, Petr Hliněný +1
Graph product structure theory expresses certain graphs as subgraphs of the strong product of much simpler graphs. In particular, an elegant formulation for the corresponding struc…
The Mixed Page Number of Graphs
Jawaherul Md. Alam, Michael A. Bekos, Martin Gronemann +2
A linear layout of a graph typically consists of a total vertex order, and a partition of the edges into sets of either non-crossing edges, called stacks, or non-nested edges, call…
On the Queue Number of Planar Graphs
Michael A. Bekos, Martin Gronemann, Chrysanthi N. Raftopoulou
A k-queue layout is a special type of a linear layout, in which the linear order avoids (k+1)-rainbows, i.e., k+1 independent edges that pairwise form a nested pair. The optimizati…
On Morphing 1-Planar Drawings
Patrizio Angelini, Michael A. Bekos, Fabrizio Montecchiani +1
Computing a morph between two drawings of a graph is a classical problem in computational geometry and graph drawing. While this problem has been widely studied in the context of p…
On Mixed Linear Layouts of Series-Parallel Graphs
Patrizio Angelini, Michael A. Bekos, Philipp Kindermann +1
A mixed s-stack q-queue layout of a graph consists of a linear order of its vertices and of a partition of its edges into s stacks and q queues, such that no two edges in the same…