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arXiv · 1501.03686

Packing Plane Perfect Matchings into a Point Set

Ahmad Biniaz·Prosenjit Bose·Anil Maheshwari·Michiel Smid
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Abstract

Given a set $P$ of $n$ points in the plane, where $n$ is even, we consider the following question: How many plane perfect matchings can be packed into $P$? We prove that at least $\lceil\log_2{n}\rceil-2$ plane perfect matchings can be packed into any point set $P$. For some special configurations of point sets, we give the exact answer. We also consider some extensions of this problem.

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Ahmad Biniaz, Prosenjit Bose, Anil Maheshwari, Michiel Smid. 2015-01-15. Packing Plane Perfect Matchings into a Point Set. https://arxiv.org/abs/1501.03686

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