Let Q denote the set of all n by II doubly stochastic matrices. Let t be a real number such that l/t > l/n and lti m be a real number such that l/m < 1 l/t. The set I2$ = {A E Q : l/m < ai < l/t, 1 < i, j < n) is the convex huh of the matrices in Qs having as many largest entries, namely, l/t, as possible in each row and column while filling out the… (More)