Carrie G. Rutherford

activity

20212025

collaborators

3 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.CO2024

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 $λ + 1$ or $λ$ blocks depending on whether ${a, b}$ is or is not an edge of a given…

math.CO2021

Generalized pentagonal geometries -- II

Anthony D. Forbes, Carrie G. Rutherford

A generalized pentagonal geometry PENT( $k$ , $r$ , $w$ ) is a partial linear space, where every line is incident with $k$ points, every point is incident with $r$ lines, and for each po…