D. Donovan

activity

20122022

most citedDifference Covering Arrays and Pseudo-Orthogonal Latin Squares

12 citations · 26 across the 20 of their papers we have counts for

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Showing 2014Show all

3 papers · 1 filter

math.CO2014★ 1 cited

Square Integer Heffter Arrays with Empty Cells

D. S. Archdeacon, J. H. Dinitz, D. M. Donovan +1

A Heffter array $H (m, n; s, t)$ is an $m \times n$ matrix with nonzero entries from $Z_{2 m s + 1}$ such that $i)$ each row contains $s$ filled cells and each column contains $t$ …

math.CO2014★ 4 cited

Distributive and anti-distributive Mendelsohn triple systems

Diane M. Donovan, Terry S. Griggs, Thomas A. McCourt +2

We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumera…

math.CO2014

Direct constructions for general families of cyclic mutually nearly orthogonal Latin squares

Fatih Demirkale, Diane Donovan, Abdollah Khodkar

Two Latin squares $L = [l (i, j)]$ and $M = [m (i, j)]$ , of even order $n$ with entries ${0, 1, 2, \dots, n - 1}$ , are said to be nearly orthogonal if the superimposition of $L$ on $M$ yields…