Nicholas J. Cavenagh

most citedLatin bitrades derived from groups

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2008★ 1 cited

Transitive latin bitrades

Carlo Hamalainen, Nicholas J. Cavenagh

In this note we give two results. First, if a latin bitrade $(T_{1}, T_{2})$ is primary, thin, separated, and the autotopism group of $T_{1}$ acts regularly on $T_{1}$ , then $(T_{1}, T_{2})$ m…

math.CO2007

On completing three cyclic transversals to a latin square

Nicholas J. Cavenagh, Carlo Hamalainen, Adrian M. Nelson

Let $P$ be a partial latin square of prime order $p > 7$ consisting of three cyclically generated transversals. Specifically, let $P$ be a partial latin square of the form: \[ P=\{(i…

math.CO2007★ 1 cited

Latin bitrades derived from groups

Nicholas J. Cavenagh, Ales Drapal, Carlo Hamalainen

A latin bitrade is a pair of partial latin squares which are disjoint, occupy the same set of non-empty cells, and whose corresponding rows and columns contain the same set of entr…