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Parameterized Algorithms for Book Embedding Problems [PDF]

open access: diamondJournal of Graph Algorithms and Applications, 2020
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 the same page cross. We study the problem of determining whether $G$ admits a $k$-page book embedding both when the linear order of the vertices is fixed, called ${\rm F{\small IXED}
Sujoy Bhore   +3 more
semanticscholar   +6 more sources

On dispersable book embeddings [PDF]

open access: greenTheoretical Computer Science, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jawaherul Md. Alam   +5 more
semanticscholar   +9 more sources

Book embeddings of Reeb graphs [PDF]

open access: green, 2013
Let $X$ be a simplicial complex with a piecewise linear function $f:X\to\mathbb{R}$. The Reeb graph $Reeb(f,X)$ is the quotient of $X$, where we collapse each connected component of $f^{-1}(t)$ to a single point.
Kurlin, Vitaliy
core   +4 more sources

Semantic Dependency Parsing via Book Embedding [PDF]

open access: goldProceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), 2017
Modelamos un gráfico de dependencia como un libro, un tipo particular de espacio topológico, para el análisis de dependencia semántica. La columna vertebral del libro se compone de una secuencia de palabras, y cada página contiene un subconjunto de arcos no cruzados. Para construir un gráfico semántico para una oración dada, diseñamos nuevos algoritmos
Weiwei Sun, Junjie Cao, Xiaojun Wan
semanticscholar   +3 more sources

Upward Book Embeddings of st-Graphs [PDF]

open access: green35th International Symposium on Computational Geometry (SoCG 2019), 2019
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 additional requirement that the vertices of the graph appear in a topological ordering along the spine of the book. We show that testing whether a graph admits a $k$UBE is NP-complete for
Carla Binucci   +5 more
  +8 more sources

Oriented Book Embeddings [PDF]

open access: green, 2016
9 pages, 5 ...
Stacey McAdams, Jinko Kanno
openalex   +3 more sources

On the optimal layout of (K p  − C p ) n into grid and certain structures [PDF]

open access: yesScientific Reports
Interconnection networks constitute complex configurations of processors and communication links that facilitate data transmission between processors in a parallel computing system.
G. Caroline Vincy, David Raj Micheal
doaj   +2 more sources

Book Embeddings of Graph Products [PDF]

open access: green, 2020
A $k$-stack layout (also called a $k$-page book embedding) of a graph consists of a total order of the vertices, and a partition of the edges into $k$ sets of non-crossing edges with respect to the vertex order. The stack number (book thickness, page number) of a graph is the minimum $k$ such that it admits a $k$-stack layout.
Sergey Pupyrev
openalex   +3 more sources

Optimal Acyclic Hamiltonian Path Completion for Outerplanar Triangulated st-Digraphs (with Application to Upward Topological Book Embeddings) [PDF]

open access: green, 2008
Given an embedded planar acyclic digraph G, we define the problem of "acyclic hamiltonian path completion with crossing minimization (Acyclic-HPCCM)" to be the problem of determining an hamiltonian path completion set of edges such that, when these edges
Mchedlidze, Tamara, Symvonis, Antonios
core   +2 more sources

Enhancing Library Digitalization: A Heterogeneous Network Embedding Approach for Personalized Book Recommendations

open access: goldIEEE Access
Book recommendations are crucial in digital library transformation, enhancing service sophistication and customization. They allow readers to access books tailored to their specific interests.
Yafeng Kong
doaj   +2 more sources

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