3 papers
math.CO2024
A construction for regular-graph designs
Anthony Forbes, Carrie Rutherford
A regular-graph design is a block design for which a pair of distinct points occurs in or blocks depending on whether is or is not an edge of a given…
math.CO2024
Design spectra for 6-regular graphs with 12 vertices
Anthony D. Forbes, Carrie G. Rutherford
The design spectrum of a simple graph is the set of positive integers such that there exists an edgewise decomposition of the complete graph into $n(n - 1)/(2 |E(G)|)…
math.CO2019
Group divisible designs with block size four and type g^u m^1 - III
Anthony D. Forbes
We deal with group divisible designs that have block size 4 and group type g^u m^1, where g = 2 or 4 (mod 6). We show that the necessary conditions for the existence of a 4-GDD of…