Embeddability Problems for Upward Planar Digraphs
Graph Drawing
WALCOM '09 Proceedings of the 3rd International Workshop on Algorithms and Computation
Upward point set embeddability for convex point sets is in P
GD'11 Proceedings of the 19th international conference on Graph Drawing
On upward point set embeddability
Computational Geometry: Theory and Applications
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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(n2) 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.