|
|||||
 |
|
|
|
|
|
|
|
Number of
triangulations of a Möbius strip
Véronique Bazier-Matte, Ruiyan Huang and Hanyi Luo |
|
Vol. 16 (2023), No. 4, 547–562
|
Abstract |
|
Consider a Möbius strip with chosen points on its boundary. A triangulation is a maximal collection of arcs among these points and cuts the strip into triangles and quasi-triangles. We prove that the number of all triangulations that one can obtain from a Möbius strip with chosen points on its boundary is given by . We then connect our finding with the number of clusters in the quasi-cluster algebra arising from the Möbius strip. |
PDF Access Denied
We have not been able to recognize your IP address
44.201.97.138
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
quasi-cluster algebras
|
Mathematical Subject Classification
Primary: 13F60
|
Milestones
Received: 12 September 2020
Revised: 29 July 2022
Accepted: 5 August 2022
Published: 31 October 2023
Communicated by Kenneth S. Berenhaut
|
Authors |
| Véronique Bazier-Matte | |
| Département de Mathématiques et de
Statistiques Université Laval Québec, QC Canada |
|
| Ruiyan Huang | |
| Yale University New Haven, CT United States |
|
| Hanyi Luo | |
| Harvey Mudd College Claremont, CA United States |
|
| © 2023 MSP (Mathematical Sciences Publishers). |
