Gordon F. Royle

activity

20242026

collaborators

3 papers

math.CO2026

On a conjecture of Las Vergnas

Steven D. Noble, Gordon F. Royle

In 1988, Las Vergnas conjectured that if $M$ is a binary matroid with bicycle dimension $d$ , then for $0 \leq k \leq d$ , the $k$ th derivative of the diagonal Tutte polynomial $T(M;…

math.CO2025

Cubic graphs with no eigenvalues in the interval (-2,0)

Krystal Guo, Gordon F. Royle

We give a complete characterisation of the cubic graphs with no eigenvalues in the interval $(- 2, 0)$ . There is one thin infinite family consisting of a single graph on $6 n$ vertice…

math.CO2024

Triangle-free graphs with diameter 2

Alice Devillers, Nina Kamčev, Brendan McKay +5

There are finitely many graphs with diameter $2$ and girth 5. What if the girth 5 assumption is relaxed? Apart from stars, are there finitely many triangle-free graphs with diamete…