P. Danziger

activity

20152026

most citedZero-sum flows for Steiner triple systems

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

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…

math.CO2024

Weak colourings of Kirkman triple systems

Andrea C. Burgess, Nicholas J. Cavenagh, Peter Danziger +1

A $δ$ -colouring of the point set of a block design is said to be {\em weak} if no block is monochromatic. The {\em chromatic number} $χ (S)$ of a block design $S$ is the smallest in…

math.CO2024

Tic-Tac-Toe on Designs

Peter Danziger, Melissa A. Huggan, Rehan Malik +1

We consider playing the game of Tic-Tac-Toe on block designs BIBD( $v, k, λ$ ) and transversal designs TD( $k, n$ ). Players take turns choosing points and the first player to complete…