Equal Entries in Totally Positive Matrices

Miriam Farber, Mitchell Faulk, Charles R. Johnson +1

We show that the maximal number of equal entries in a totally positive (resp. totally nonsingular) $n\text{-by-}n$ matrix is $\Theta (n^{4/3})$ (resp. $\Theta (n^{3/2}$)). Relationships with…