Diagonal similarity of matrices
On spaces of matrices with a bounded number of eigenvalues.
On a nonnegative irreducible matrix that is similar to a positive matrix
Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
Graphs whose minimal rank is two: the finite fields case.
Graphs whose minimal rank is two.
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