论文标题
用于系统发育三价树的Gorenstein特性
Gorenstein property for phylogenetic trivalent trees
论文作者
论文摘要
我们研究了基于系统发育群体模型的Gorenstein特性。我们证明，对于这些组，对于$ \ Mathbb Z_3 $和$ \ Mathbb Z_2 \ Times \ Mathbb Z_2 $和Triverent Trees，相关的多型始终是Gorenstein，将Buczyńska和Wiśniewski的结果扩展到该组$ \ Mathbb Z__2 $。
We study the Gorenstein property for phylogenetic group-based models. We prove that for the groups $\mathbb Z_3$ and $\mathbb Z_2\times \mathbb Z_2$ and trivalent trees the associated polytopes are always Gorenstein extending the results of Buczyńska and Wiśniewski for the group $\mathbb Z_2$.
