New Combinatorial Formulas for Cluster Monomials of Type $A$ Quivers

[摘要] Lots of research focuses on the combinatorics behind various bases of cluster algebras. This paper studies the natural basis of a type $A$ cluster algebra, which consists of all cluster monomials. We introduce a new kind of combinatorial formula for the c

[学科分类] 离散数学和组合数学

[关键词] Cluster algebra;Cluster monomials