Abstract
In this article we study mutation of friezes of type D. We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof include a certain transformation of a type D frieze into a sub-pattern of a frieze of type A and the mutation formula for type A friezes recently found by Baur et al.
Original language | English |
---|---|
Article number | 105282 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 176 |
DOIs | |
State | Published - Nov 2020 |
Bibliographical note
Publisher Copyright:© 2020 Elsevier Inc.
Keywords
- Cluster algebra
- Frieze
- Quiver mutation
- Surface triangulation
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics