Exchange graphs of cluster algebras have the non‐leaving‐face property

DOI10.1112/blms.12836zbMath1527.13021arXiv2207.05555MaRDI QIDQ6096848

Changjian Fu, Pin Liu, Shengfei Geng

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.05555

zbMATH Keywords

cluster algebrasexchange graphsnon-leaving-face properties.

Mathematics Subject Classification ID

Combinatorial aspects of simplicial complexes (05E45) Cluster algebras (13F60)

Related Items (1)

Relative left Bongartz completions and their compatibility with mutations

Cites Work

• The diameter of type \(D\) associahedra and the non-leaving-face property
• \(W\)-associahedra have the non-leaving-face property
• The enough \(g\)-pairs property and denominator vectors of cluster algebras
• \(\mathcal{G}\)-systems
• Non-leaving-face property for marked surfaces
• Cluster algebras I: Foundations
• Ordered Exchange Graphs
• Canonical bases for cluster algebras
• Cluster algebras IV: Coefficients
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• On tropical dualities in cluster algebras
• On support \(\tau\)-tilting graphs of gentle algebras
• Bongartz Completion via c-Vectors

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