Number of Triangulations of a M\"obius Strip
Combinatorics
2023-11-08 v1
Abstract
Consider a M\"obius strip with chosen points on its edge. A triangulation is a maximal collection of arcs among these points and cuts the strip into triangles. In this paper, we proved the number of all triangulations that one can obtain from a M\"obius strip with chosen points on its edge is given by , then we made the connection with the number of clusters in the quasi-cluster algebra arising from the M\"obius strip.
Cite
@article{arxiv.2009.05785,
title = {Number of Triangulations of a M\"obius Strip},
author = {Bazier-Matte Véronique and Huang Ruiyan and Luo Hanyi},
journal= {arXiv preprint arXiv:2009.05785},
year = {2023}
}