A generalization of Markov numbers
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Publication:6200985
DOI10.1007/s11139-023-00801-6arXiv2210.07366OpenAlexW4390331301MaRDI QIDQ6200985
Publication date: 25 March 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.07366
Combinatorial identities, bijective combinatorics (05A19) Counting solutions of Diophantine equations (11D45) Continued fractions (11A55) Cluster algebras (13F60) Combinatorial aspects of groups and algebras (05E16)
Cites Work
- Snake graph calculus and cluster algebras from surfaces. II: Self-crossing snake graphs
- Cluster-cyclic quivers with three vertices and the Markov equation. (With an appendix by Otto Kerner).
- Positivity for cluster algebras from surfaces
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Integral solutions of Markoff-Hurwitz equations
- Snake graphs and 70
- Continued fractions and orderings on the Markov numbers
- Snake graphs from triangulated orbifolds
- Bases for cluster algebras from orbifolds with one marked point
- Snake graph calculus and cluster algebras from surfaces
- Cluster algebras I: Foundations
- Teichmüller Spaces of Riemann Surfaces with Orbifold Points of Arbitrary Order and Cluster Variables
- Cluster algebras and continued fractions
- Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths
- Bases for cluster algebras from surfaces
- Introduction to Cluster Algebras
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