Daniel R. Hawtin

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20242026

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4 papers · 1 filter

math.CO2026

Symmetries of regular $q$ -graphs

Daniel R Hawtin, Padraig Ã CathÃ¡in

Given a finite vector space $V = F_{q}^{n}$ , the $q$ -analogue of a graph, called a $q$ -graph, is a pair $I^ = (V, E)$ , where $V$ is the set of $1$ -dim…

math.CO2024

Alphabet-affine 2-neighbour-transitive codes

Daniel R. Hawtin

A code $C$ is a subset of the vertex set of a Hamming graph $H (n, q)$ , and $C$ is $2$ -neighbour-transitive if the automorphism group $G={\rm Aut}({\mathcal C})…

math.CO2024

Group actions on codes in graphs

Daniel R. Hawtin, Cheryl E. Praeger

This is a chapter in a forthcoming book on completely regular codes in distance regular graphs. The chapter provides an overview, and some original results, on codes in distance re…

math.CO2024

Transitive $(q - 1)$ -fold packings of $PG_{n} (q)$

Daniel R. Hawtin

A $t$ -fold packing of a projective space $PG_{n} (q)$ is a collection $P$ of line-spreads such that each line of $PG_{n} (q)$ occurs in precisely $t$ spreads in $\mat…

Symmetries of regular q-graphs

Alphabet-affine 2-neighbour-transitive codes

Group actions on codes in graphs

Transitive (q−1)-fold packings of PGn​(q)

Symmetries of regular $q$ -graphs

Transitive $(q - 1)$ -fold packings of $PG_{n} (q)$