3 citations · 4 across the 5 of their papers we have counts for
7 papers
Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture
M. A. Ollis, Anita Pasotti, Marco A. Pellegrini +1
Label the vertices of the complete graph with the integers and define the length of the edge between and to be .…
Roman and Vatican Crossover Designs
M. A. Ollis
Latin squares with a balance property among adjacent pairs of symbols---being "Roman" or "row-complete"---have long been used as uniform crossover designs with the number of treatm…
Sequences in Dihedral Groups with Distinct Partial Products
M. A. Ollis
Given a subset of the non-identity elements of the dihedral group of order , is it possible to order the elements of so that the partial products are distinct? This is…
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…
Distinct Partial Sums in Cyclic Groups: Polynomial Method and Constructive Approaches
Jacob Hicks, M. A. Ollis, John. R. Schmitt
Let be an abelian group and consider a subset with . Given an ordering of the elements of , define its {\em partial sums} by…
Infinite Latin Squares: Neighbor Balance and Orthogonality
Anthony B. Evans, Gage N. Martin, Kaethe Minden +1
Regarding neighbor balance, we consider natural generalizations of -complete Latin squares and Vatican squares from the finite to the infinite. We show that if is an infinit…