Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model

Author:

Austin Conner, Kangjin Han, Mateusz Michałek

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Commutative Algebra (math.AC), Combinatorics (math.CO), Statistics Theory (math.ST)

journal:

date:

2023-08-09 16:00:00

Abstract

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.

PDF: Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model.pdf