We study f-vectors, which are the maximal degree vectors of F-polynomials in cluster algebra theory. For a cluster algebra of finite type, we find that positive f-vectors correspond with d-vectors, which are exponent vectors of denominators of cluster variables. Furthermore, using this correspondence and properties of d-vectors, we prove that cluster variables in a cluster are uniquely determined by their f-vectors when the cluster algebra is of finite type or rank 2.
CITATION STYLE
Gyoda, Y. (2021). Relation Between f-Vectors and d-Vectors in Cluster Algebras of Finite Type or Rank 2. Annals of Combinatorics, 25(3), 573–594. https://doi.org/10.1007/s00026-021-00527-6
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