On optimal matchings

@article{Ajtai1984OnOM,
  title={On optimal matchings},
  author={Mikl{\'o}s Ajtai and John Komlos and G{\'a}bor E. Tusn{\'a}dy},
  journal={Combinatorica},
  year={1984},
  volume={4},
  pages={259-264}
}
Givenn random red points on the unit square, the transportation cost between them is tipically √n logn. 
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