English

Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model

Algebraic Geometry 2023-08-11 v1 Commutative Algebra Combinatorics Statistics Theory Statistics Theory

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.

Keywords

Cite

@article{arxiv.2308.05561,
  title  = {Sullivant-Talaska ideal of the cyclic Gaussian Graphical Model},
  author = {Austin Conner and Kangjin Han and Mateusz Michałek},
  journal= {arXiv preprint arXiv:2308.05561},
  year   = {2023}
}