Work

Degree of the Gaussian graphical model of the cycle

Year: 2026

Type: article

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.

Source: Forum of Mathematics Sigma

DOI: 10.1017/fms.2026.10294

Authors: Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička

Institutions: University of Konstanz, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, University of Pavol Jozef Šafárik

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,650

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft