Peter Danziger

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3 papers · 1 filter

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…

math.CO2023

A survey on constructive methods for the Oberwolfach problem and its variants

Andrea Burgess, Peter Danziger, Tommaso Traetta

The generalized Oberwolfach problem asks for a decomposition of a graph $G$ into specified 2-regular spanning subgraphs $F_{1}, \dots, F_{k}$ , called factors. The classic Oberwolfach p…

math.CO2023

On the minisymposium problem

Peter Danziger, Eric Mendelsohn, Brett Stevens +1

The generalized Oberwolfach problem asks for a factorization of the complete graph $K_{v}$ into prescribed $2$ -factors and at most a $1$ -factor. When all $2$ -factors are pairwise iso…