Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model

Austin Conner; Kangjin Han; Mateusz Micha{\l}ek

Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model

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arxiv 2308.05561 v1 pith:WYON4KLU submitted 2023-08-10 math.AG math.ACmath.COmath.STstat.TH

Austin Conner , Kangjin Han , Mateusz Micha{l}ek This is my paper · ORCID

classification math.AGmath.ACmath.COmath.STstat.TH

keywords gaussiangraphicalidealidealsmodelapplicableassociatedclass

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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.

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