Counting triangulations of some classes of subdivided convex polygons

Abstract

We compute the number of triangulations of a convex k-gon each of whose sides is subdivided by r−1 points. We find explicit formulas and generating functions, and we determine the asymptotic behaviour of these numbers as k and/or r tend to infinity. We connect these results with the question of finding the planar set of points in general position that has… (More)
DOI: 10.1016/j.ejc.2016.12.002

Topics

12 Figures and Tables

Slides referencing similar topics