22 citations · 214 across the 59 of their papers we have counts for
4 papers · 1 filter
Maximal sets of mutually orthogonal frequency squares
Nicholas J. Cavenagh, Adam Mammoliti, Ian M. Wanless
A frequency square is a square matrix in which each row and column is a permutation of the same multiset of symbols. A frequency square is of type if it contains symb…
A general framework for hypergraph colouring
Ian M. Wanless, David R. Wood
The Lovász Local Lemma is a powerful probabilistic technique for proving the existence of combinatorial objects. It is especially useful for colouring graphs and hypergraphs with b…
On the number of quadratic orthomorphisms that produce maximally nonassociative quasigroups
Aleš Drápal, Ian M. Wanless
Let be an odd prime power and suppose that are such that and are nonzero squares. Let be the quasigroup…
Multidimensional permanents of polystochastic matrices
Billy Child, Ian M. Wanless
A -dimensional matrix is called \emph{-polystochastic} if it is non-negative and the sum over each line equals~. Such a matrix that has a single in each line and zeros…