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Dynamic Schnyder Woods
Sujoy Bhore, Prosenjit Bose, Pilar Cano +2
A realizer, commonly known as Schnyder woods, of a triangulation is a partition of its interior edges into three oriented rooted trees. A flip in a realizer is a local operation th…
Upward Point Set Embeddings of Paths and Trees
Elena Arseneva, Pilar Cano, Linda Kleist +4
We study upward planar straight-line embeddings (UPSE) of directed trees on given point sets. The given point set has size at least the number of vertices in the tree. For the…
Affine invariant triangulations
Prosenjit Bose, Pilar Cano, Rodrigo I. Silveira
We study affine invariant 2D triangulation methods. That is, methods that produce the same triangulation for a point set for any (unknown) affine transformation of . Our wor…
Compatible Paths on Labelled Point Sets
Elena Arseneva, Yeganeh Bahoo, Ahmad Biniaz +8
Let and be finite point sets of the same cardinality in , each labelled from to . Two noncrossing geometric graphs and spanning and …
Pole Dancing: 3D Morphs for Tree Drawings
Elena Arseneva, Prosenjit Bose, Pilar Cano +5
We study the question whether a crossing-free 3D morph between two straight-line drawings of an -vertex tree can be constructed consisting of a small number of linear morphing s…