Nicholas J. Cavenagh

activity

20072026

most citedLatin trades in groups defined on planar triangulations

10 citations · 31 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 9 cited

Mutually orthogonal binary frequency squares

Thomas Britz, Nicholas J. Cavenagh, Adam Mammoliti +1

A \emph{frequency square} is a matrix in which each row and column is a permutation of the same multiset of symbols. We consider only {\em binary} frequency squares of order $n$ wi…

math.CO2019★ 1 cited

Globally simple Heffter arrays $H (n; k)$ when $k \equiv 0, 3 mod 4$

K. Burrage, Nicholas J. Cavenagh, D. Donovan +1

Square Heffter arrays are $n \times n$ arrays such that each row and each column contains $k$ filled cells, each row and column sum is divisible by $2 nk + 1$ and either $x$ or $- x$ ap…

math.CO2019★ 1 cited

Biembeddings of cycle systems using integer Heffter arrays

Nicholas J. Cavenagh, D. Donovan, E. Ş. Yazici

In this paper we will show the existence of a face $2$ -colourable biembedding of the complete graph onto an orientable surface where each face is a cycle of a fixed length $k$ , for…

Mutually orthogonal binary frequency squares

Globally simple Heffter arrays H(n;k) when k≡0,3mod4

Biembeddings of cycle systems using integer Heffter arrays

Globally simple Heffter arrays $H (n; k)$ when $k \equiv 0, 3 mod 4$