Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model

08/10/2023

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by   Austin Conner, et al.

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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.