Structural properties of bichromatic non-crossing matchings

Marko Savić and Miloš Stojaković

Applied Mathematics and Computation, 2022, vol. 415, issue C

Abstract: Given a set of n red and n blue points in the plane, we are interested in matching red points with blue points by straight line segments so that the segments do not cross. We develop a range of tools for dealing with the non-crossing matchings of points in convex position. It turns out that the points naturally partition into groups that we refer to as orbits, with a number of properties that prove useful for studying and efficiently processing the non-crossing matchings.

Keywords: Orbit; Matching; Bottleneck; Non-crossing; Bichromatic; Convex; Circle (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007797

DOI: 10.1016/j.amc.2021.126695

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