论文标题
calkin-wilf树和船尾领的二元性
Cluster duality between Calkin-Wilf tree and Stern-Brocot tree
论文作者
论文摘要
我们发现两棵著名的树（Calkin-Wilf树）与源自群集代数理论的船尾领树之间的双重性。这些树的顶点集是一组有理数，它们具有由单函数的圆环引起的群集结构。特别是，calkin-wilf树是初始种子突变给出的结构的一个例子。
We find a duality between two well-known trees, the Calkin-Wilf tree and the Stern-Brocot tree, derived from cluster algebra theory. The vertex sets of these trees are the set of rational numbers, and they have cluster structures induced by one-punctured torus. In particular, the Calkin-Wilf tree is an example of the structure given by initial-seed mutations.
