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 …
P Jungeblut, L Merker, T Ueckerdt - SIAM Journal on Discrete Mathematics, 2023 - SIAM
The page number of a directed acyclic graph is the minimum for which there is a topological ordering of and a-coloring of the edges such that no two edges of the same color cross, ie …
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 …
Among the vast literature concerning graph drawing and graph theory, linear layouts of graphs have been the subject of intense research over the years, both from a combinatorial …
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 …
In this paper we study the computational complexity of the Upward Planarity Extension problem, which takes as input an upward planar drawing Γ H of a subgraph H of a directed …
In an upward-planar L-drawing of a directed acyclic graph (DAG) each edge $ e $ is represented as a polyline composed of a vertical segment with its lowest endpoint at the tail …
A long-standing conjecture by Heath, Pemmaraju, and Trenk states that the upward book thickness of outerplanar DAGs is bounded above by a constant. In this paper, we show that …
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 …