On universal quadratic inequalities for minors of TNN matrices
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908476433760256 |
|---|---|
| author | Danilov, Vladimir I. Karzanov, Alexander V. Koshevoy, Gleb A. |
| author_facet | Danilov, Vladimir I. Karzanov, Alexander V. Koshevoy, Gleb A. |
| contents | For positive integers $n,n'$, we give a combinatorial characterization for the set of quadratic inequalities on minors that are valid for all $n\times n'$ totally nonnegative matrices. This is obtained as a consequence from our earlier results on stable quadratic identities on minors of matrices generated by flows in planar graphs via Lindström's construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03754 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On universal quadratic inequalities for minors of TNN matrices Danilov, Vladimir I. Karzanov, Alexander V. Koshevoy, Gleb A. Combinatorics 05C75, 05E99, 15A15 For positive integers $n,n'$, we give a combinatorial characterization for the set of quadratic inequalities on minors that are valid for all $n\times n'$ totally nonnegative matrices. This is obtained as a consequence from our earlier results on stable quadratic identities on minors of matrices generated by flows in planar graphs via Lindström's construction. |
| title | On universal quadratic inequalities for minors of TNN matrices |
| topic | Combinatorics 05C75, 05E99, 15A15 |
| url | https://arxiv.org/abs/2506.03754 |