2 research outputs found
Equal Entries in Totally Positive Matrices
We show that the maximal number of equal entries in a totally positive (resp.
totally nonsingular) matrix is (resp.
)). Relationships with point-line incidences in the plane,
Bruhat order of permutations, and completability are also presented. We
also examine the number and positionings of equal minors in a
matrix, and give a relationship between the location of
equal minors and outerplanar graphs.Comment: 15 page