On the c-vectors and g-vectors of the Markov cluster algebra

2011/12/15 by Alfredo Nájera Chávez, Chávez, Alfredo Nájera · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1112.3578

11 pages

openalex publication_date 2011/12/15 · arxiv created 2012/12/09 · arxiv updated 2012/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the c-vectors and g-vectors of the Markov cluster algebra in terms of a special family of triples of rational numbers, which we call the Farey triples.

Citations

• Cluster X-varieties at infinity
• Quivers with potentials associated to triangulated surfaces, Part II: Arc representations

Cited by

• On q-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
• Scattering diagrams of quivers with potentials and mutations

Related

• Cluster algebraic interpretation of generalized Markov numbers and their matrixizations
• q-Deformations and t-deformations of Markov triples
• A Generalization of Markov Numbers
• Introduction to Cluster Algebras
• Arbeitsgemeinschaft: Cluster Algebras