On the dimension of the strongly robust complex for configurations in general position
Abstract
Strongly robust toric ideals are the toric ideals for which the set of indispensable binomials is the Graver basis. The strongly robust simplicial complex of a simple toric ideal determines the strongly robust property for all toric ideals that have this simple toric ideal as their bouquet ideal. We prove that the dimension of the strongly robust simplicial complex of a simple toric ideal is strictly less than the rank of the defining matrix of the corresponding simple toric ideal for configurations in general position, partially answering a question posed by Sullivant.
Fields of Study & Subjects
Neurological Disorders and Treatments
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 11
- Pages
- 4575–4585
- Publication date
- 13 May 2026
- Language
- EN