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 …

The graph crossing number and its variants: A survey

M Schaefer - The electronic journal of combinatorics, 2012 - combinatorics.org
The crossing number is a popular tool in graph drawing and visualization, but there is not
really just one crossing number; there is a large family of crossing number notions of which …

Crossing minimization for 1-page and 2-page drawings of graphs with bounded treewidth

MJ Bannister, D Eppstein - … , GD 2014, Würzburg, Germany, September 24 …, 2014 - Springer
We investigate crossing minimization for 1-page and 2-page book drawings. We show that
computing the 1-page crossing number is fixed-parameter tractable with respect to the …

Upward book embeddings of st-graphs

C Binucci, G Da Lozzo, E Di Giacomo… - arXiv preprint arXiv …, 2019 - arxiv.org
We study $ k $-page upward book embeddings ($ k $ UBEs) of $ st $-graphs, that is, book
embeddings of single-source single-sink directed acyclic graphs on $ k $ pages with the …

Parameterized algorithms for book embedding problems

S Bhore, R Ganian, F Montecchiani… - Journal of Graph …, 2020 - jgaa.info
A $ k $-page book embedding of a graph $ G $ draws the vertices of $ G $ on a line and the
edges on $ k $ half-planes (called pages) bounded by this line, such that no two edges on …

Upward Book Embeddability of st-Graphs: Complexity and Algorithms

C Binucci, G Da Lozzo, E Di Giacomo, W Didimo… - Algorithmica, 2023 - Springer
A k-page upward book embedding (k UBE) of a directed acyclic graph G is a book
embeddings of G on k pages with the additional requirement that the vertices appear in a …

Local and union page numbers

L Merker, T Ueckerdt - International Symposium on Graph Drawing and …, 2019 - Springer
We introduce the novel concepts of local and union book embeddings, and, as the
corresponding graph parameters, the local page number pn _ ℓ (G) and the union page …

Parameterized algorithms for fixed-order book drawing with bounded number of crossings per edge

Y Liu, J Chen, J Huang - International Conference on Combinatorial …, 2020 - Springer
Given a graph G=(V, E) G=(V, E) and a fixed linear order of V, the problem fixed-order book
drawing with bounded number of crossings per edge asks whether there is ak-page book …

On mixed linear layouts of series-parallel graphs

P Angelini, MA Bekos, P Kindermann… - Theoretical Computer …, 2022 - Elsevier
A mixed s-stack q-queue layout of a graph consists of a linear order of its vertices and a
partition of its edges into s stacks and q queues, such that no two edges in the same stack …

Fixed-parameter tractability for book drawing with bounded number of crossings per edge

Y Liu, Y Li, J Huang - Algorithmic Aspects in Information and Management …, 2021 - Springer
The problem book drawing with a bounded number of crossings per edge asks, given a
graph G=(V, E) G=(V, E) and two integers k, b, whether there is ak-page book drawing of G …