James G. Lefevre

most citedLatin hypercubes realizing integer partitions

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math.CO2023★ 2 cited

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…

math.CO2010

Multi-latin squares

Nicholas Cavenagh, Carlo Hamalainen, James G. Lefevre +1

A multi-latin square of order $n$ and index $k$ is an $n \times n$ array of multisets, each of cardinality $k$ , such that each symbol from a fixed set of size $n$ occurs $k$ times i…