Publications (16)
The Beraha number $B_{10}$ is a chromatic root
Gordon Royle
Highly-connected planar cubic graphs with few or many Hamilton cycles
Irene Pivotto, Gordon Royle
Cores of Cubelike Graphs
Laura ManÄinska, Irene Pivotto, David E. Roberson +1
The internally 4-connected binary matroids with no M(K3,3)-minor
Dillon Mayhew, Gordon Royle, Geoff Whittle
The binary $q$-analogue of the Fano plane has a trivial automorphism group
John Bamberg, Ferdinand Ihringer, Jesse Lansdown +1
The internally 4-connected binary matroids with no M(K5\e)-minor
Dillon Mayhew, Gordon Royle
16,051 formulas for Ottaviani's invariant of cubic threefolds
Abdelmalek Abdesselam, Christian Ikenmeyer, Gordon Royle
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
Joanna B. Fawcett, Michael Giudici, Cai Heng Li +3
Every flock generalised quadrangle has a hemisystem
John Bamberg, Michael Giudici, Gordon Royle
Structure of Cubic Lehman Matrices
Dillon Mayhew, Irene Pivotto, Gordon Royle
The paper investigates cubic Lehman matrices by viewing them as regular bipartite graphs, introduces two construction methods (including a 3‑rung ladder segment) to generate all kn…
Excluding Kuratowski graphs and their duals from binary matroids
Dillon Mayhew, Gordon Royle, Geoff Whittle
Colouring Lines in Projective Space
Ameera Chowdhury, Chris Godsil, Gordon Royle
A Census of Small Transitive Groups and Vertex-Transitive Graphs
Derek Holt, Gordon Royle
Primitive groups and synchronization
João Araújo, Wolfram Bentz, Peter J. Cameron +2
Symmetric Squares of Graphs
Koenraad Audenaert, Chris Godsil, Gordon Royle +1
The Brown-Colbourn conjecture on zeros of reliability polynomials is false
Gordon Royle, Alan D. Sokal