D. Donovan

activity

20122022

most citedOn the existence of 3-way k-homogeneous Latin trades

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CO2018

Embedding partial Latin squares in Latin squares with many mutually orthogonal mates

Diane M. Donovan, Mike Grannell, Emine Şule Yazıcı

We show that any partial Latin square of order $n$ can be embedded in a Latin square of order at most $16 n^{2}$ which has at least $2 n$ mutually orthogonal mates. We also show that f…

math.CO2018

The existence of square non-integer Heffter arrays

Nicholas J. Cavenagh, Jeff Dinitz, Diane Donovan +1

A Heffter array $H (n; k)$ is an $n \times n$ matrix such that each row and column contains $k$ filled cells, each row and column sum is divisible by $2 nk + 1$ and either $x$ or $- x$ ap…