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Advancements on SEFE and Partitioned Book Embedding Problems [PDF]
29 pages, 10 figures, extended version of 'On Some NP-complete SEFE Problems' (Eighth International Workshop on Algorithms and Computation, 2014)
Patrizio Angelini+2 more
semanticscholar +7 more sources
Parameterized Algorithms for Book Embedding Problems [PDF]
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.
Sujoy Bhore+3 more
semanticscholar +9 more sources
On Dispersable Book Embeddings [PDF]
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 at different half-planes bounded by l, called pages of the book, such that: (i) no two edges of the same ...
Jawaherul Md. Alam+4 more
semanticscholar +10 more sources
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 additional requirement that the vertices of the graph appear in a topological ordering ...
Carla Binucci+5 more
semanticscholar +9 more sources
On Open Book Embedding of Contact Manifolds in the Standard Contact Sphere [PDF]
We prove some open book embedding results in the contact category with a constructive approach. As a consequence, we give an alternative proof of a theorem of Etnyre and Lekili that produces a large class of contact 3-manifolds admitting contact open ...
Kuldeep Saha
openalex +3 more sources
Matching book thickness of generalized Petersen graphs
The matching book embedding of a graph G is to place its vertices on the spine, and arrange its edges on the pages so that the edges in the same page do not intersect each other and the edges induced subgraphs of each page are 1-regular.
Zeling Shao, Huiru Geng, Zhiguo Li
doaj +2 more sources
Implementing a Partitioned 2-Page Book Embedding Testing Algorithm [PDF]
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.
Patrizio Angelini+2 more
openalex +3 more sources
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
Improved book-embeddings of incomplete hypercubes
AbstractIn this paper, we show that any incomplete hypercube with, at most, 2n+2n−1+2n−2 vertices can be embedded in n−1 pages for all n≥4. For the case n≥4, this result improves Fang and Lai’s result that any incomplete hypercube with, at most, 2n+2n−1 vertices can be embedded in n−1 pages for all n≥2.Besides this, we show that the result can be ...
Toru Hasunuma
openalex +2 more sources