Joy Cooper

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math.CO2026

Quantum walks and graph operations

Joy Cooper, Homer De Vera, Hermie Monterde +3

Let $U_{X} (t)$ be the transition matrix of a quantum walk on a graph $X$ relative to its adjacency matrix $A$ or the Laplacian matrix $L$ . This paper investigates the behavior of qua…

math.CO2026

Fuzzy latin squares and balanced permutation pattern statistics

Joy Cooper, Peter J. Dukes

A latin square of order $n$ can be viewed as a partition of the $n \times n$ all-ones matrix into permutation matrix summands. Here, we consider a relaxation in which the matrix su…