Diane Donovan

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math.CO2025

Further constructions of square integer relative Heffter arrays

Diane Donovan, Sarah Lawson, James Lefevre

A square integer relative Heffter array is an $n \times n$ array whose rows and columns sum to zero, each row and each column has exactly $k$ entries and either $x$ or $- x$ appears…

math.CO2023

Latin hypercubes realizing integer partitions

Diane Donovan, Tara Kemp, James Lefevre

For an integer partition $h_{1} + \dots + h_{n} = N$ , a 2-realization of this partition is a latin square of order $N$ with disjoint subsquares of orders $h_{1}, \dots, h_{n}$ . The existence…