Incremental topological flipping works for regular triangulations

@article{Edelsbrunner1992IncrementalTF,
  title={Incremental topological flipping works for regular triangulations},
  author={Herbert Edelsbrunner and Nimish R. Shah},
  journal={Algorithmica},
  year={1992},
  volume={15},
  pages={223-241}
}
A set ofn weighted points in general position in ℝd defines a unique regular triangulation. This paper proves that if the points are added one by one, then flipping in a topological order will succeed in constructing this triangulation. If, in addition, the points are added in a random sequence and the history of the flips is used for locating the next point, then the algorithm takes expected time at mostO(nlogn+n[d/2]). Under the assumption that the points and weights are independently and… 
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