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math.CO2021
Sign-restricted matrices of 's, 's, and 's
Richard A. Brualdi, Geir Dahl
We study {\em sign-restricted matrices} (SRMs), a class of rectangular -matrices generalizing the alternating sign matrices (ASMs). In an SRM each partial column sum, s…
math.CO2021
Convex -Matrices and Their Epitopes
Richard A. Brualdi, Geir Dahl
We investigate -matrices that are {\em convex}, which means that the ones are consecutive in every row and column. These matrices occur in discrete tomography. The notion of…
math.CO2021
Diagonal Sums of Doubly Stochastic Matrices
Richard A. Brualdi, Geir Dahl
Let denote the class of doubly stochastic matrices (each such matrix is entrywise nonnegative and every row and column sum is 1). We study the diagonals of matri…