English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study $f$-vectors, which are the maximal degree vectors of $F$-polynomialsin cluster algebra theory. For a cluster algebra is of finite type, we findthat positive $f$-vectors correspond with $d$-vectors, which are exponentvectors of denominators of cluster variables. Furthermore, using thiscorrespondence and properties of $d$-vectors, we prove that cluster variablesin a cluster are uniquely determined by their $f$-vectors when the clusteralgebra is of finite type or rank $2$.

Relation between $f$-vectors and $d$-vectors in cluster algebras of finite type or rank 2