Carrie G. Rutherford

collaborators

2 papers

math.CO2025

The design spectrum of the Shrikhande graph

Anthony D. Forbes, Carrie G. Rutherford

The design spectrum of a simple graph $G$ is the set of positive integers $n$ such that there exists an edgewise decomposition of the complete graph $K_{n}$ into $n(n - 1)/(2 |E(G)|)…

math.CO2025

A construction for regular-graph designs

Anthony Forbes, Carrie Rutherford

A regular-graph design is a block design for which a pair ${a, b}$ of distinct points occurs in $I^» + 1$ or $I^»$ blocks depending on whether ${a, b}$ is or is not an edge of a give…