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Packing Plane Perfect Matchings into a Point Set

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 $P$? For points in general position we prove the lower bound of ⌊log2$n$⌋$-1$. For some special configurations of point sets, we give the exact answer. We also consider some restricted variants of this problem.
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Ahmad Biniaz, Prosenjit Bose, Anil Maheshwari, Michiel Smid. Packing Plane Perfect Matchings into a Point Set. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2015, Vol. 17 no.2 (2), pp.119-142. ⟨hal-01349047⟩

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