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Addendum to "Structure of seeds in generalized cluster algebras"

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arxiv 2406.07582 v1 pith:UZAUTOIQ submitted 2024-06-10 math.RA

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keywords algebrasclustergeneralizedaddendumseedsstructureapplicationsclass
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This is Addendum to ``Structure of seeds in generalized cluster algebras'', Pacific J. Math. {277} (2015), 201--218. We extend the class of generalized cluster algebras studied therein to embrace examples in some applications.

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  1. Cluster algebraic interpretation of generalized Markov numbers and their matrixizations

    math.CO 2025-07 conditional novelty 7.0 of 10

    Two new families of cluster Cohn and Markov-monodromy matrices for generalized Markov cluster algebras are introduced, fully classified, and made explicit via weighted fence posets whose order ideals expand cluster variables.

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