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On universal quadratic inequalities for minors of TNN matrices
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy · 2025-06-04 · via math.CO updates on arXiv.org

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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