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 …
really just one crossing number; there is a large family of crossing number notions of which …
Four pages are indeed necessary for planar graphs
An embedding of a graph in a book consists of a linear order of its vertices along the spine of
the book and of an assignment of its edges to the pages of the book, so that no two edges on …
the book and of an assignment of its edges to the pages of the book, so that no two edges on …
[HTML][HTML] Book embeddings of k-framed graphs and k-map graphs
An embedding of a graph in a book, called book embedding, consists of a linear ordering of
its vertices along the spine of the book and an assignment of its edges to the pages of the …
its vertices along the spine of the book and an assignment of its edges to the pages of the …
Book embeddings of nonplanar graphs with small faces in few pages
An embedding of a graph in a book, called book embedding, consists of a linear ordering of
its vertices along the spine of the book and an assignment of its edges to the pages of the …
its vertices along the spine of the book and an assignment of its edges to the pages of the …
Upward book embeddings of st-graphs
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 …
embeddings of single-source single-sink directed acyclic graphs on $ k $ pages with the …
The book thickness of 1-planar graphs is constant
MA Bekos, T Bruckdorfer, M Kaufmann… - Algorithmica, 2017 - Springer
In a book embedding, the vertices of a graph are placed on the “spine” of a book and the
edges are assigned to “pages”, so that edges on the same page do not cross. In this paper …
edges are assigned to “pages”, so that edges on the same page do not cross. In this paper …
Parameterized algorithms for book embedding problems
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 …
edges on $ k $ half-planes (called pages) bounded by this line, such that no two edges on …
[HTML][HTML] Recognizing DAGs with page-number 2 is NP-complete
The page-number of a directed acyclic graph (a DAG, for short) is the minimum k for which
the DAG has a topological order and a k-coloring of its edges such that no two edges of the …
the DAG has a topological order and a k-coloring of its edges such that no two edges of the …
On dispersable book embeddings
In a dispersable book embedding, the vertices of a given graph G must be ordered along a
line ℓ, called spine, and the edges of G must be drawn in different half-planes bounded by ℓ …
line ℓ, called spine, and the edges of G must be drawn in different half-planes bounded by ℓ …
Triconnected planar graphs of maximum degree five are subhamiltonian
We show that every triconnected planar graph of maximum degree five is subhamiltonian
planar. A graph is subhamiltonian planar if it is a subgraph of a Hamiltonian planar graph or …
planar. A graph is subhamiltonian planar if it is a subgraph of a Hamiltonian planar graph or …