32 citations · 173 across the 34 of their papers we have counts for
42 papers
Cubic graphs with no eigenvalues in the interval (-1,1)
Krystal Guo, Gordon F. Royle
We give a complete characterisation of the cubic graphs with no eigenvalues in the open interval . There are two infinite families, one due to Guo and Mohar [Linear Algebra…
Tactical decompositions in finite polar spaces and non-spreading classical group actions
John Bamberg, Michael Giudici, Jesse Lansdown +1
For finite classical groups acting naturally on the set of points of their ambient polar spaces, the symmetry properties of \emph{synchronising} and \emph{separating} are equivalen…
Separating rank 3 graphs
John Bamberg, Michael Giudici, Jesse Lansdown +1
We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separati…
Tournaments and Even Graphs are Equinumerous
Gordon F. Royle, Cheryl E. Praeger, S. P. Glasby +2
A graph is called odd if there is an orientation of its edges and an automorphism that reverses the sense of an odd number of its edges, and even otherwise. Pontus von Brömssen (né…
The transitive groups of degree 48 and some applications
Derek Holt, Gordon Royle, Gareth Tracey
The primary purpose of this paper is to report on the successful enumeration in Magma of representatives of the conjugacy classes of transitive subgroups of the sym…
Orbits of Sylow subgroups of finite permutation groups
John Bamberg, Alexander Bors, Alice Devillers +3
We say that a finite group acting on a set has Property for a prime if is a Sylow -subgroup of for all and Sylow -subgroups of …