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arXiv · 1007.0221

Regular Labelings and Geometric Structures

David Eppstein
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Abstract

Three types of geometric structure---grid triangulations, rectangular subdivisions, and orthogonal polyhedra---can each be described combinatorially by a regular labeling: an assignment of colors and orientations to the edges of an associated maximal or near-maximal planar graph. We briefly survey the connections and analogies between these three kinds of labelings, and their uses in designing efficient geometric algorithms.

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David Eppstein. 2010-07-01. Regular Labelings and Geometric Structures. https://arxiv.org/abs/1007.0221

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