Talks and Poster Presentations (without Proceedings-Entry):
A. Asinowski, C. Krattenthaler, T. Mansour:
"Counting triangulations of some classes of subdivided convex polygons";
Talk: Discrete Mathematics Days - JMDA 2016,
Barcelona, Spanien;
2016-07-06
- 2016-07-08.
English 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 the minimum possible number of triangulations - a well-known open problem from computational geometry.
Keywords:
Triangulations, generating functions, asymptotic analysis
Created from the Publication Database of the Vienna University of Technology.