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Polynomial recognition of cluster algebras of finite type

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Publication:279747
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DOI10.1016/j.jalgebra.2016.03.027zbMath1378.13016arXiv1507.03844OpenAlexW2962806090MaRDI QIDQ279747

Diane Castonguay, Elisângela Silva Dias

Publication date: 29 April 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03844


zbMATH Keywords

algorithmfinite typecluster algebra


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Cluster algebras (13F60)


Related Items (1)

Polynomial-time Classification of Skew-symmetrizable Matrices with a Positive Definite Quasi-Cartan Companion



Cites Work

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  • Positivity for cluster algebras from surfaces
  • Recognizing cluster algebras of finite type
  • A correction to Colbourn's paper on the complexity of matrix symmetrizability
  • Cluster algebras. II: Finite type classification
  • On cyclically orientable graphs
  • Cluster algebras I: Foundations
  • The Mutation Class ofDnQuivers
  • Cluster algebras of infinite rank
  • CLUSTER ALGEBRAS OF FINITE TYPE AND POSITIVE SYMMETRIZABLE MATRICES
  • Depth-First Search and Linear Graph Algorithms
  • Quivers with relations arising from clusters (𝐴_{𝑛} case)


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