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Bibliographic Details
Main Authors: Fernández, Antonio, Santos, Francisco
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2110.00544
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Table of Contents:
  • Kupavskii, Volostnov, and Yarovikov have recently shown that any set of $n$ points in general position in the plane has at least as many (partial) triangulations as the convex $n$-gon. We generalize this in two directions: we show that regular triangulations are enough, and we extend the result to all regular subdivisions, graded by the dimension of their corresponding face in the secondary polytope.