Publications in Scientific Journals:
A. Asinowski, C. Krattenthaler, T. Mansour:
"Counting triangulations of some classes of subdivided convex polygons";
arXiv.org e-Print archive,
*
(2016),
1604.02870;
26 pages.
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:
Combinatorics, Computational Geometry
Created from the Publication Database of the Vienna University of Technology.