Nonnegative minors of minor matrices
classification
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math.RA
keywords
matricesnonnegativeminorminorstotallyacycliccombinatorialdirected
read the original abstract
Using the relationship between totally nonnegative matrices and directed acyclic weighted planar networks, we show that $2\times 2$ minors of minor matrices of totally nonnegative matrices are also nonnegative. We give a combinatorial interpretation for the minors of minor matrices in terms of the weights of families of paths in a network.
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