In this paper, we settle a conjecture due to Sturmfels and Uhler concerning generation of the prime ideal of the variety associated to the Gaussian graphical model of any cycle graph. Our methods are general and applicable to a large class of ideals with radical initial ideals.

翻译：本文解决了Sturmfels与Uhler提出的一个猜想，该猜想涉及任意环图的高斯图模型相关簇的素理想的生成问题。我们的方法具有通用性，适用于一大类具有根基初始理想的理想。