Forced perimeter in Elnitksy polygons
Combinatorics
2020-08-13 v1
Abstract
We study tiling-based perimeter and characterize when a given perimeter tile appears in all rhombic tilings of an Elnitsky polygon. Regardless of where on the perimeter this tile appears, its forcing can be described in terms of 321-patterns. We characterize the permutations with maximally many forced right-perimeter tiles, and show that they are enumerated by the Catalan numbers.
Keywords
Cite
@article{arxiv.2008.05347,
title = {Forced perimeter in Elnitksy polygons},
author = {Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:2008.05347},
year = {2020}
}
Comments
10 pages