6 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…
Minimum Monotone Spanning Trees
Emilio Di Giacomo, Walter Didimo, Eleni Katsanou +3
Given a finite set of points in the plane and a finite set of directions, a geometric spanning tree~ of~ is -monotone if every path in is m…
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…
An algorithm for accurate and simple-looking metaphorical maps
Eleni Katsanou, Tamara Mchedlidze, Antonios Symvonis +1
"Metaphorical maps" or "contact representations" are visual representations of vertex-weighted graphs that rely on the geographic map metaphor. The vertices are represented by coun…
Planar Stories of Graph Drawings: Algorithms and Experiments
Carla Binucci, Sabine Cornelsen, Walter Didimo +5
We address the problem of computing a dynamic visualization of a geometric graph as a sequence of frames. Each frame shows only a portion of the graph but their union covers $G…
Geometric realizations of dichotomous ordinal graphs
Patrizio Angelini, Sabine Cornelsen, Carolina Haase +5
A dichotomous ordinal graph consists of an undirected graph with a partition of the edges into short and long edges. A geometric realization of a dichotomous ordinal graph in a…