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math.CO2018★ 1 cited
Partitions of the polytope of Doubly Substochastic Matrices
Lei Cao, Zhi Chen
In this paper, we provide three different ways to partition the polytope of doubly substochastic matrices into subpolytopes via the prescribed row and column sums, the sum of all e…
math.CO2018★ 1 cited
A short note on doubly substochastic analog of Birkhoff's theorem
Lei Cao
Let B be an n by n doubly substochastic matrix. We show that B can be written as a convex combination of no more than σ(B)+t subpermutation matrices, where σ(B) is the number of no…