论文标题
Quasisymmmortric功能区分树木
Quasisymmetric functions distinguishing trees
论文作者
论文摘要
斯坦利著名的猜想指出，他的色素对称功能将树木区分开来。作为一种准对称的类似物，我们猜想Shareshian和Wachs以及Ellzey的彩色准对称功能将有向树的树木区分开。对于$ p $ - 分区枚举的肯定问题，将其肯定的答案暗示，这是肯定的答案。他们证明了植根树的情况，我们的结果包括对结果的概括。
A famous conjecture of Stanley states that his chromatic symmetric function distinguishes trees. As a quasisymmetric analogue, we conjecture that the chromatic quasisymmetric function of Shareshian and Wachs and of Ellzey distinguishes directed trees. This latter conjecture would be implied by an affirmative answer to a question of Hasebe and Tsujie about the $P$-partition enumerator distinguishing posets whose Hasse diagrams are trees. They proved the case of rooted trees and our results include a generalization of their result.
