The Voronoi functional is maximized by the Delaunay triangulation in the plane

Herbert Edelsbrunner, Alexey A. Glazyrin, Oleg R. Musin, Anton V. Nikitenko. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica, 37(5):887-910, 2017. [doi]

@article{EdelsbrunnerGMN17,
  title = {The Voronoi functional is maximized by the Delaunay triangulation in the plane},
  author = {Herbert Edelsbrunner and Alexey A. Glazyrin and Oleg R. Musin and Anton V. Nikitenko},
  year = {2017},
  doi = {10.1007/s00493-016-3308-y},
  url = {https://doi.org/10.1007/s00493-016-3308-y},
  researchr = {https://researchr.org/publication/EdelsbrunnerGMN17},
  cites = {0},
  citedby = {0},
  journal = {Combinatorica},
  volume = {37},
  number = {5},
  pages = {887-910},
}