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arXiv · 1302.4400

Quasi-Parallel Segments and Characterization of Unique Bichromatic Matchings

Andrei Asinowski·Tillmann Miltzow·Günter Rote
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Abstract

Given n red and n blue points in general position in the plane, it is well-known that there is a perfect matching formed by non-crossing line segments. We characterize the bichromatic point sets which admit exactly one non-crossing matching. We give several geometric descriptions of such sets, and find an O(nlogn) algorithm that checks whether a given bichromatic set has this property.

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Andrei Asinowski, Tillmann Miltzow, Günter Rote. 2013-02-18. Quasi-Parallel Segments and Characterization of Unique Bichromatic Matchings. https://doi.org/10.20382/jocg.v6i1a8

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