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arXiv · 2503.02842

Flipping Matchings is Hard

Carla Binucci·Fabrizio Montecchiani·Daniel Perz·Alessandra Tappini
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Abstract

Given a point set $\mathcal{P}$ and a plane perfect matching $\mathcal{M}$ on $\mathcal{P}$, a flip is an operation that replaces two edges of $\mathcal{M}$ such that another plane perfect matching on $\mathcal{P}$ is obtained. Given two plane perfect matchings on $\mathcal{P}$, we show that it is NP-hard to minimize the number of flips that are needed to transform one matching into the other.

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Carla Binucci, Fabrizio Montecchiani, Daniel Perz, Alessandra Tappini. 2025-03-04. Flipping Matchings is Hard. https://arxiv.org/abs/2503.02842

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