Daniel R. Hawtin

activity

20182023

collaborators

5 papers

math.CO2023

An explicit construction for large sets of infinite dimensional $q$ -Steiner systems

Daniel R. Hawtin

Let $V$ be a vector space over the finite field $F_{q}$ . A $q$ -Steiner system, or an $S (t, k, V)_{q}$ , is a collection $B$ of $k$ -dimensional subspaces of $V$ such t…

math.CO2022

A characterisation of edge-affine $2$ -arc-transitive covers of $\K_{2^n,2^n}$

Daniel R. Hawtin, Cheryl E. Praeger, Jin-Xin Zhou

We introduce the notion of an \emph{ $n$ -dimensional mixed dihedral group}, a general class of groups for which we give a graph theoretic characterisation. In particular, if $H$ is…

math.CO2021

Neighbour-Transitive Codes and Partial Spreads in Generalised Quadrangles

Dean Crnković, Daniel R. Hawtin, Andrea Ŝvob

A code $C$ in a generalised quadrangle $Q$ is defined to be a subset of the vertex set of the point-line incidence graph $Γ$ of $Q$ . The minimum dista…

math.CO2019

On the 486-vertex distance-regular graphs of Koolen--Riebeek and Soicher

Robert F. Bailey, Daniel R. Hawtin

This paper considers three imprimitive distance-regular graphs with 486 vertices and diameter 4: the Koolen--Riebeek graph (which is bipartite), the Soicher graph (which is antipod…

math.CO2018

$2$ -Neighbour-Transitive Codes with Small Blocks of Imprimitivity

Neil I. Gillespie, Daniel R. Hawtin, Cheryl E. Praeger

A code $C$ in the Hamming graph $Γ = H (m, q)$ is $2 -neighbour-transitive$ if $Aut (C)$ acts transitively on each of $C = C_{0}$ , $C_{1}$ and $C_{2}$ , the first three…

An explicit construction for large sets of infinite dimensional q-Steiner systems

A characterisation of edge-affine 2-arc-transitive covers of $\K_{2^n,2^n}$

Neighbour-Transitive Codes and Partial Spreads in Generalised Quadrangles

On the 486-vertex distance-regular graphs of Koolen--Riebeek and Soicher

2-Neighbour-Transitive Codes with Small Blocks of Imprimitivity

An explicit construction for large sets of infinite dimensional $q$ -Steiner systems

A characterisation of edge-affine $2$ -arc-transitive covers of $\K_{2^n,2^n}$

$2$ -Neighbour-Transitive Codes with Small Blocks of Imprimitivity