M. Ollis

activity

20162025

most citedTerraces for Small Groups

3 citations · 8 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

The spectrum of group-based Latin squares

M. A. Ollis, Christopher R. Tripp

We construct sequencings for many groups that are a semi-direct product of an odd-order abelian group and a cyclic group of odd prime order. It follows from these constructions tha…

math.CO2018

Distinct Partial Sums in Cyclic Groups: Polynomial Method and Constructive Approaches

Jacob Hicks, M. A. Ollis, John. R. Schmitt

Let $(G, +)$ be an abelian group and consider a subset $A \subseteq G$ with $∣ A ∣ = k$ . Given an ordering $(a_{1}, \dots, a_{k})$ of the elements of $A$ , define its {\em partial sums} by…

math.CO2018

Infinite Latin Squares: Neighbor Balance and Orthogonality

Anthony B. Evans, Gage N. Martin, Kaethe Minden +1

Regarding neighbor balance, we consider natural generalizations of $D$ -complete Latin squares and Vatican squares from the finite to the infinite. We show that if $G$ is an infinit…