Nonnegative minors of minor matrices

Published 7 Jan 2011 in math.CO and math.RA | (1101.1458v2)

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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