Juri Barkey

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math.CO2026

Ramsey-type results for Maker-Breaker games

Alexander Allin, Juri Barkey, Dennis Clemens

A graph $G$ is minimal Ramsey for a graph $H$ if every $2$ -colouring of the edges of $G$ contains a monochromatic copy of $H$ , but for every proper subgraph of $G$ , there is a $2$ -…

math.CO2026

Rainbow connectivity Maker-Breaker game

Juri Barkey, Bruno Borchardt, Dennis Clemens +3

We study biased Maker-Breaker games on a graph system ${G_{1}, \dots, G_{s}}$ , in which Maker's goal is to claim certain rainbow structures, i.e., specified subgraphs consisting of at…

math.CO2022

Multistage Positional Games

Juri Barkey, Dennis Clemens, Fabian Hamann +2

We initiate the study of a new variant of the Maker-Breaker positional game, which we call multistage game. Given a hypergraph $H = (X, F)$ and a bias $b…