Computing upward topological book embeddings of upward planar digraphs
نویسندگان
چکیده
منابع مشابه
Computing Upward Topological Book Embeddings of Upward Planar Digraphs
This paper studies the problem of computing an upward topological book embedding of an upward planar digraph G, i.e. a topological book embedding of G where all edges are monotonically increasing in the upward direction. Besides having its own inherent interest in the theory of upward book embeddability, the question has applications to well studied research topics of computational geometry and...
متن کاملMonotone Simultaneous Embeddings of Upward Planar Digraphs
We study monotone simultaneous embeddings of upward planar digraphs, which are simultaneous embeddings where the drawing of each digraph is upward planar, and the directions of the upwardness of different graphs can differ. We first consider the special case where each digraph is a directed path. In contrast to the known result that any two directed paths admit a monotone simultaneous embedding...
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Let G be a directed acyclic graph. An upward (k, h)topological book embedding of G is an upward book embedding on k pages of a subdivision of G where every edge is replaced by a path having at most h+2 vertices. In this extended abstract it is shown that every DAG with n vertices admits an upward (d + 1, 2dlogd ne − 1)-topological book embedding, where d is any integer such that d ≥ 2. The resu...
متن کاملOn ρ-Constrained Upward Topological Book Embeddings
Giordano, Liotta and Whitesides [1] developed an algorithm that, given an embedded planar st-digraph and a topological numbering ρ of its vertices, computes in O(n) time a ρ-constrained upward topological book embedding with at most 2n−4 spine crossings per edge. The number of spine crossings per edge is asymptotically worst case optimal. In this poster, we present improved results with respect...
متن کاملUpward Partitioned Book Embeddings
We analyze a directed variation of the book embedding problem when the page partition is prespecified and the nodes on the spine must be in topological order (upward book embedding). Given a directed acyclic graph and a partition of its edges into k pages, can we linearly order the vertices such that the drawing is upward (a topological sort) and each page avoids crossings? We prove that the pr...
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ژورنال
عنوان ژورنال: Journal of Discrete Algorithms
سال: 2015
ISSN: 1570-8667
DOI: 10.1016/j.jda.2014.11.006