Cluster algebras and binary words

zbMath1435.05158arXiv1910.07611MaRDI QIDQ2306558

Rachel Bailey, Emily Gunawan

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07611

zbMATH Keywords

antichaincluster algebraorder filterbinary subwordbinomial coefficient of wordssnake graph perfect matching

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Cluster algebras (13F60)

Cites Work

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• Counting the number of non-zero coefficients in rows of generalized Pascal triangles
• Positivity for cluster algebras from surfaces
• The geometry of frieze patterns
• Lattice bijections for string modules, snake graphs and the weak Bruhat order
• Cluster algebraic interpretation of infinite friezes
• Cluster algebras and Jones polynomials
• New combinatorial formulas for cluster monomials of type \(A\) quivers
• Snake graph calculus and cluster algebras from surfaces
• Cluster algebras as Hall algebras of quiver representations.
• Cluster algebras I: Foundations
• On Cluster Algebras Arising from Unpunctured Surfaces
• Cluster algebras and continued fractions
• Bases for cluster algebras from surfaces

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