22 citations
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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.CO2017
Symmetric, Hankel-symmetric, and Centrosymmetric Doubly Stochastic Matrices
Richard R. Brualdi, Lei Cao
We investigate convex polytopes of doubly stochastic matrices having special structures: symmetric, Hankel symmetric, centrosymmetric, and both symmetric and Hankel symmetric. We d…