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 …

Comparative study and evaluation of hybrid visualizations of graphs

E Di Giacomo, W Didimo, G Liotta… - … on Visualization and …, 2023 - ieeexplore.ieee.org
Hybrid visualizations combine different metaphors into a single network layout, in order to
help humans in finding the “right way” of displaying the different portions of the network …

[HTML][HTML] Parameterized complexity of graph planarity with restricted cyclic orders

G Liotta, I Rutter, A Tappini - Journal of Computer and System Sciences, 2023 - Elsevier
We study the complexity of testing whether a biconnected graph G=(V, E) is planar with the
constraint that some cyclic orders of the edges incident to its vertices are allowed while …

NodeTrix planarity testing with small clusters

E Di Giacomo, G Liotta, M Patrignani, I Rutter… - Algorithmica, 2019 - Springer
We study the NodeTrix planarity testing problem for flat clustered graphs when the maximum
size of each cluster is bounded by a constant k. We consider both the case when the sides of …

Turning cliques into paths to achieve planarity

P Angelini, P Eades, SH Hong, K Klein… - … Symposium on Graph …, 2018 - Springer
Motivated by hybrid graph representations, we introduce and study the following beyond-
planarity problem, which we call h-Clique2Path Planarity: Given a graph G, whose vertices …

Computing k-modal embeddings of planar digraphs

JJ Besa, G Da Lozzo, MT Goodrich - arXiv preprint arXiv:1907.01630, 2019 - arxiv.org
Given a planar digraph $ G $ and a positive even integer $ k $, an embedding of $ G $ in the
plane is k-modal, if every vertex of $ G $ is incident to at most $ k $ pairs of consecutive …

(kp)-Planarity: A Relaxation of Hybrid Planarity

E Di Giacomo, WJ Lenhart, G Liotta… - … Workshop on Algorithms …, 2018 - Springer
We present a new model for hybrid planarity that relaxes existing hybrid representations. A
graph G=(V, E) is (k, p)-planar if V can be partitioned into clusters of size at most k such that …

Clustered planarity= flat clustered planarity

PF Cortese, M Patrignani - … Symposium on Graph Drawing and Network …, 2018 - Springer
The complexity of deciding whether a clustered graph admits a clustered planar drawing is a
long-standing open problem in the graph drawing research area. Several research efforts …

Level planarity: Transitivity vs. even crossings

G Brückner, I Rutter, P Stumpf - … GD 2018, Barcelona, Spain, September 26 …, 2018 - Springer
Abstract Recently, Fulek et al.[1–3] have presented Hanani-Tutte results for (radial) level
planarity, ie, a graph is (radial) level planar if it admits a (radial) level drawing where any two …

Optimization Problems in Directed Graph Visualization

JJ Besa Vial - 2019 - escholarship.org
Drawing digraphs presents unique challenges that do not occur when drawing undirected
graphs. Many digraphs tend to represent transitive relationships; that is they have a flow …