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arXiv · 2506.03754

On universal quadratic inequalities for minors of TNN matrices

Vladimir I. Danilov·Alexander V. Karzanov·Gleb A. Koshevoy
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Abstract

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.

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Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy. 2025-08-03. On universal quadratic inequalities for minors of TNN matrices. https://arxiv.org/abs/2506.03754

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