Generalized Cambrian denominator-vector theorem

Let BB be an exchange matrix, and let Theorem~ denote the source's theorem identifying the combinatorial Cambrian data with denominator vectors of cluster variables. Generalized Cambrian denominator-vector theorem. Theorem~ holds even when BB is not of finite Cartan type. The source presents this as a conjecture implied by the ν\nu-conjecture, while the supplied text does not state that it has been resolved beyond finite Cartan type.

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Primary source

Nathan Reading and David E Speyer, “Combinatorial frameworks for cluster algebras”, arXiv:1111.2652 (2026).

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