English

Minimum number of partial triangulations

Combinatorics 2021-04-14 v1

Abstract

We show that the number of partial triangulations of a set of nn points on the plane is at least the (n2)(n-2)-nd Catalan number. This is tight for convex nn-gons. We also describe all the equality cases.

Keywords

Cite

@article{arxiv.2104.05855,
  title  = {Minimum number of partial triangulations},
  author = {Andrey Kupavskii and Aleksei Volostnov and Yury Yarovikov},
  journal= {arXiv preprint arXiv:2104.05855},
  year   = {2021}
}
R2 v1 2026-06-24T01:06:09.214Z