Geodesic
Packing Plane Perfect Matchings into a Point Set
Discrete mathematics & theoretical computer science, Tome 17 (2015-2016) no. 2.

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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 &#x230A;log<sub>2</sub>$n$&#x230B;$-1$. For some special configurations of point sets, we give the exact answer. We also consider some restricted variants of this problem. 
@article{DMTCS_2015_17_2_a4,
     author = {Biniaz, Ahmad and Bose, Prosenjit and Maheshwari, Anil and Smid, Michiel},
     title = {Packing {Plane} {Perfect} {Matchings} into a {Point} {Set}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2015-2016},
     doi = {10.46298/dmtcs.2132},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2132/}
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Biniaz, Ahmad; Bose, Prosenjit; Maheshwari, Anil; Smid, Michiel. Packing Plane Perfect Matchings into a Point Set. Discrete mathematics & theoretical computer science, Tome 17 (2015-2016) no. 2. doi : 10.46298/dmtcs.2132. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2132/

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