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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© 2010 Springer-Verlag Berlin Heidelberg
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Eppstein, D. (2010). Regular Labelings and Geometric Structures. In: Cheong, O., Chwa, KY., Park, K. (eds) Algorithms and Computation. ISAAC 2010. Lecture Notes in Computer Science, vol 6506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17517-6_1
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DOI: https://doi.org/10.1007/978-3-642-17517-6_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17516-9
Online ISBN: 978-3-642-17517-6
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