3 citations · 9 across the 7 of their papers we have counts for
7 papers
The circular altitude of a graph
John Bamberg, Brian Corr, Alice Devillers +3
In this paper we investigate a parameter of graphs, called the circular altitude, introduced by Peter Cameron. We show that the circular altitude provides a lower bound on the circ…
A relative -cover of a Hermitian surface is a relative hemisystem
John Bamberg, Melissa Lee
An -cover of the Hermitian surface of is a set of lines of such that every point of lies on exactly lines of $\mat…
Point-primitive generalised hexagons and octagons
John Bamberg, S. P. Glasby, Tomasz Popiel +2
In 2008, Schneider and Van Maldeghem proved that if a group acts flag-transitively, point-primitively, and line-primitively on a generalised hexagon or generalised octagon, then it…
An enumeration of certain projective ternary two-weight codes and their relationship to the cubic Segre variety
Michael Martis, John Bamberg, Sylvia Morris
We detail the enumeration of all two-intersection sets of the five-dimensional projective space over the field of order 3 that are invariant under an element of order 7, which incl…
Triple factorisations of the general linear group and their associated geometries
Seyed Hassan Alavi, John Bamberg, Cheryl E. Praeger
Triple factorisations of finite groups of the form are essential in the study of Lie theory as well as in geometry. Geometrically, each triple factorisation cor…
AS-configurations and skew-translation generalised quadrangles
John Bamberg, S. P. Glasby, Eric Swartz
The only known skew-translation generalised quadrangles (STGQ) having order , with even, are translation generalised quadrangles. Equivalently, the only known groups …