Billy Child

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math.CO2026

Latin hypercubes with restricted transversals

Billy Child, Ian M. Wanless

A $k$ -plane of a $d$ -dimensional array is a subarray formed by fixing $d - k$ coordinates and allowing the remaining $k$ coordinates to vary freely. A Latin hypercube of dimension $d…

math.CO2020

Multidimensional permanents of polystochastic matrices

Billy Child, Ian M. Wanless

A $d$ -dimensional matrix is called \emph{ $1$ -polystochastic} if it is non-negative and the sum over each line equals~ $1$ . Such a matrix that has a single $1$ in each line and zeros…