Peer-reviewedCC BY 4.0Forum of Mathematics, Sigma
Degree of the Gaussian graphical model of the cycle
- 1Simion Stoilow Institute of Mathematics of the Romanian Academy
- 2University of Konstanz
- 3Šafárik University
Abstract
We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods based on the intersection theory on the space of complete quadrics.
Related
- Comment on Vogels et al.'s (2024) "Bayesian Structure Learning in Undirected Gaussian Graphical Models: Literature Review with Empirical Comparison": An updated performance check using BGGM
- Structural Identifiability in Non-Gaussian Graphical Discrete Lyapunov Models
- High-dimensional Gaussian Graphical Model Testing for Long-Memory Time Series
- Penalized Likelihood Inference in Highly Multivariate Sparse Spectral Graphical Gaussian Processes
- Parameterising Gaussian Graphical Models
BibTeX
@article{dinu2026degree,
title = {{Degree of the Gaussian graphical model of the cycle}},
author = {Rodica Andreea Dinu and Mateusz Michałek and Martin Vodička},
journal = {Forum of Mathematics, Sigma},
year = {2026},
month = oct,
doi = {10.1017/fms.2026.10294},
url = {https://www.cambridge.org/core/product/identifier/S2050509426102941/type/journal_article},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Degree of the Gaussian graphical model of the cycle
AU - Rodica Andreea Dinu
AU - Mateusz Michałek
AU - Martin Vodička
PY - 2026
DA - 2026/10/27
JO - Forum of Mathematics, Sigma
DO - 10.1017/fms.2026.10294
UR - https://www.cambridge.org/core/product/identifier/S2050509426102941/type/journal_article
AB - We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods based on the intersection theory on the space of complete quadrics.
SN - 2050-5094
ER -