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Published in:
2010 | OriginalPaper | Chapter
Regular Labelings and Geometric Structures
Author : David Eppstein
Published in: Algorithms and Computation
Publisher: Springer Berlin Heidelberg
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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.