Michael J. Gill

activity

20192024

K_{16}

9 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2024★ 1 cited

Canonical labelling of Latin squares in average-case polynomial time

Michael J. Gill, Adam Mammoliti, Ian M. Wanless

A Latin square of order $n$ is an $n \times n$ matrix in which each row and column contains each of $n$ symbols exactly once. For $ε > 0$ , we show that with high probability a uniform…

math.CO2022

Pairs of MOLS of order ten satisfying non-trivial relations

Michael J. Gill, Ian M. Wanless

A relation on a $k$ -net $(n)$ (or, equivalently, a set of $k - 2$ mutually orthogonal Latin squares of order $n$ ) is an $F_{2}$ linear dependence within the incidence matrix…

math.CO2019★ 9 cited

Perfect 1-factorisations of $K_{16}$

Michael J. Gill, Ian M. Wanless

We report the results of a computer enumeration that found that there are 3155 perfect 1-factorisations (P1Fs) of the complete graph $K_{16}$ . Of these, 89 have a non-trivial autom…

Canonical labelling of Latin squares in average-case polynomial time

Pairs of MOLS of order ten satisfying non-trivial relations

Perfect 1-factorisations of K16​

Perfect 1-factorisations of $K_{16}$