8 citations · 10 across the 6 of their papers we have counts for
7 papers
Pattern-Avoiding (0,1)-Matrices
Richard A. Brualdi, Lei Cao
We investigate pattern-avoiding (0,1)-matrices as generalizations of pattern-avoiding permutations. Our emphasis is on 123-avoiding and 321-avoiding patterns for which we obtain ex…
Centrosymmetric Stochastic Matrices
Lei Cao, Darian McLaren, Sarah Plosker
We consider the convex set of stochastic matrices and the convex set of centrosymmetric stochastic matrices (stochastic…
A short note on Multilevel Toeplitz Matrices
Lei Cao, Selcuk Koyuncu
Chien, Liu, Nakazato, and Tam proved that all n by n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of…
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…
On the maximum of the permanent of (I-A)
Zhi Chen, Lei Cao
Let A be an n by n doubly substochastic matrix and denote σ(A) the sum of all elements of A. In this paper we give the upper bound of the permanent of (I-A) with respect to n and σ…
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…