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math.CO2023
Weakly Hadamard diagonalizable graphs and Quantum State Transfer
Darian McLaren, Hermie Monterde, Sarah Plosker
Hadamard diagonalizable graphs are undirected graphs for which the corresponding Laplacian is diagonalizable by a Hadamard matrix. Such graphs have been studied in the context of q…
math.CO2020
The Complete Positivity of Symmetric Tridiagonal and Pentadiagonal Matrices
Lei Cao, Darian McLaren, Sarah Plosker
We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix is completely positive. Our decomposition can be applied to a wide range of matrice…
math.CO2019
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…