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Questions involving results for the special case of matrices over the integers, reals, or complex numbers in which all coefficients are 0 or 1 (e.g. permutation matrices and adjacency matrices of graphs or digraphs).
3
votes
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answers
348
views
Bounds on singular values of invertible 0-1 matrices
I'm interested in considering digraphs from an algebraic perspective, which leads me to the following question.
Consider an invertible 0-1 matrix of shape $n \times n$.
What lower and upper bounds …