2 papers
math.CO2022
Constructions of Sarvate-Beam Group Divisible Designs
Peter J. Dukes, Joanna Niezen
A balanced incomplete block design is a set system in which all pairs of distinct elements occur with a constant frequency. By contrast, a Sarvate-Beam design induces an interval o…
math.CO2021
Number cubes with consecutive line sums
Peter Dukes, Joanna Niezen
We settle the existence of certain "anti-magic" cubes using combinatorial block designs and graph decompositions to align a handful of small examples.