Nonnegative minors of minor matrices

Details Nonnegative minors of minor matrices Nonnegative minors of minor matrices

2011-01-07

arxiv.org/abs/1101.1458v2

Linear Algebra and its Applications, Volume 436, Issue 7, Pages 2187-2200, 2012

Mathematics

Combinatorics

Scientific paper

10.1016/j.laa.2011.09.029

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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