Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.07366 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915468796755968 |
|---|---|
| author | Banaian, Esther Sen, Archan |
| author_facet | Banaian, Esther Sen, Archan |
| contents | We explore a generalization of the Markov numbers that is motivated by a specific generalized cluster algebra arising from an orbifold, in the sense of Chekhov and Shapiro. We give an explicit algorithm for computing these generalized Markov numbers and exhibit several patterns analogous to those that appear within the ordinary Markov numbers. Along the way, we present formulas related to continued fractions and snake graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07366 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A Generalization of Markov Numbers Banaian, Esther Sen, Archan Combinatorics Number Theory 05E16 05A19 11A55 11D45 We explore a generalization of the Markov numbers that is motivated by a specific generalized cluster algebra arising from an orbifold, in the sense of Chekhov and Shapiro. We give an explicit algorithm for computing these generalized Markov numbers and exhibit several patterns analogous to those that appear within the ordinary Markov numbers. Along the way, we present formulas related to continued fractions and snake graphs. |
| title | A Generalization of Markov Numbers |
| topic | Combinatorics Number Theory 05E16 05A19 11A55 11D45 |
| url | https://arxiv.org/abs/2210.07366 |