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4 votes
2 answers
314 views

Connecting $2n$ points in $\mathbb R^2$ with line segments s.t. each point belongs to exactly one line segment

I'm trying to do a certain simulation related to the toric code and I'm looking for an algorithm that connects $2n$ points ($n \in \mathbb Z_+$) in $\mathbb R^2$ with line segments with the following ...
Sanchayan Dutta's user avatar
5 votes
1 answer
315 views

On optimal dual solutions for the minimum weight perfect matching problems in the case of metric weights

Following Lovasz-Plummer (Matching theory, North-Holland 1986, Theorem 9.2.1), the minimum weight perfect matching problem on a complete graph $G$ with even number of vertices and weight $w:E(G)\to \...
Mikhail Ostrovskii's user avatar