A survey on graph drawing beyond planarity

W Didimo, G Liotta, F Montecchiani - ACM Computing Surveys (CSUR), 2019 - dl.acm.org
Graph Drawing Beyond Planarity is a rapidly growing research area that classifies and
studies geometric representations of nonplanar graphs in terms of forbidden crossing …

[HTML][HTML] Right angle crossing graphs and 1-planarity

P Eades, G Liotta - Discrete Applied Mathematics, 2013 - Elsevier
A Right Angle Crossing Graph (also called a RAC graph for short) is a graph that has a
straight-line drawing where any two crossing edges are orthogonal to each other. A 1-planar …

[HTML][HTML] On RAC drawings of 1-planar graphs

MA Bekos, W Didimo, G Liotta, S Mehrabi… - Theoretical Computer …, 2017 - Elsevier
A drawing of a graph is 1-planar if each edge is crossed at most once. A graph is 1-planar if
it has a 1-planar drawing. A k-bend RAC (Right Angle Crossing) drawing of a graph is a …

Axis-parallel right angle crossing graphs

P Angelini, MA Bekos, J Katheder, M Kaufmann… - arxiv preprint arxiv …, 2023 - arxiv.org
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 …

[HTML][HTML] Graphs that admit right angle crossing drawings

K Arikushi, R Fulek, B Keszegh, F Morić… - Computational …, 2012 - Elsevier
We consider right angle crossing (RAC) drawings of graphs in which the edges are
represented by polygonal arcs and any two edges can cross only at a right angle. We show …

The crossing-angle resolution in graph drawing

W Didimo, G Liotta - Thirty Essays on Geometric Graph Theory, 2013 - Springer
The crossing-angle resolution of a drawing of a graph measures the smallest angle formed
by any pair of crossing edges. In this chapter, we survey some of the most recent results and …

RAC-Drawability is∃ ℝ-complete and Related Results

M Schaefer - Journal of Graph Algorithms and Applications, 2023 - jgaa-v4.cs.brown.edu
A RAC-drawing of a graph is a straight-line drawing in which every crossing occurs at a right
angle. We show that deciding whether a graph has a RAC-drawing is as hard as the …

RAC drawings of graphs with low degree

P Angelini, MA Bekos, J Katheder, M Kaufmann… - arxiv preprint arxiv …, 2022 - arxiv.org
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 …

Every outer-1-plane graph has a right angle crossing drawing

HR Dehkordi, P Eades - International Journal of Computational …, 2012 - World Scientific
There is strong empirical evidence that human perception of a graph drawing is negatively
correlated with the number of edge crossings. However, recent experiments show that one …

[HTML][HTML] On RAC drawings of graphs with one bend per edge

P Angelini, MA Bekos, H Förster… - Theoretical Computer …, 2020 - Elsevier
A k-bend right-angle-crossing drawing (or k-bend RAC drawing, for short) of a graph is a
polyline drawing where each edge has at most k bends and the angles formed at the …