A. Burgess

activity

20242026

collaborators

3 papers

math.CO2026

A complete solution to the directed Oberwolfach problem of order $2 (mod 4)$ with cycles of even lengths

A. C. Burgess, P. H. Danziger, A. Lacaze-Masmonteil

The Oberwolfach problem asks for a $2$ -factorization of the complete graph in which each $2$ -factor is isomorphic to a specific factor $F$ . Recently, this problem has been extended…

math.CO2025

Colourings of Uniform Group Divisible Designs and Maximum Packings

Andrea C Burgess, Peter Danziger, Diane Donovan +4

A weak $c$ -colouring of a design is an assignment of colours to its points from a set of $c$ available colours, such that there are no monochromatic blocks. A colouring of a design…

math.CO2024

Packing Designs with large block size

Andrea C. Burgess, Peter Danziger, Daniel Horsley +1

Given positive integers $v$ , $k$ , $t$ and $λ$ with $v \geq k \geq t$ , a packing design PD $_{λ} (v, k, t)$ is a pair $(V, B)$ , where $V$ is a $v$ -set and $B$ is a coll…

A complete solution to the directed Oberwolfach problem of order 2(mod4) with cycles of even lengths

Colourings of Uniform Group Divisible Designs and Maximum Packings

Packing Designs with large block size

A complete solution to the directed Oberwolfach problem of order $2 (mod 4)$ with cycles of even lengths