On Pseudo-Convex Decompositions, Partitions, and Coverings

Oswin Aichholzer, Clemens Huemer, Sarah Renkl, Bettina Speckmann, Csaba D. Tóth · 2005

We introduce pseudo-convex decompositions, partitions, and coverings for planar point sets. They are natural extensions of their convex counterparts and use both convex polygons and pseudo-triangles. We discuss some of their basic combinatorial properties and establish upper and lower bounds on their complexity. 1

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