Denote A as the set of all doubly substochastic mΓn
matrices and let k be a positive integer. Let Akβ be the set of
all 1/k-bounded doubly substochastic mΓn matrices, i.e.,
Akββ{EβA:ei,jββ[0,1/k],βi=1,2,β―,m,j=1,2,β―,n}. Denote Bkβ as the set of all
matrices in Akβ whose entries are either 0 or 1/k. We prove
that Akβ is the convex hull of all matrices in Bkβ.Comment: 6 pages, under submissio