The central component of a triangulation
Combinatorics
2012-10-12 v1
Abstract
The central component of a polygon triangulation is defined as the triangle or diameter that contain its geometric center. More generally, every polygon dissection contains a central component. Using this notion, we derive new recurrences for the Catalan and -Catalan numbers, and use these recursions to prove congruence relations of these numbers. We also enumerate the triangulations that contain a fixed vertex in their central components.
Keywords
Cite
@article{arxiv.1210.3349,
title = {The central component of a triangulation},
author = {Alon Regev},
journal= {arXiv preprint arXiv:1210.3349},
year = {2012}
}