Connector-Breaker Games on Random Boards

@article{Clemens2021ConnectorBreakerGO,
  title={Connector-Breaker Games on Random Boards},
  author={Dennis Clemens and L. Kirsch and Yannick Mogge},
  journal={Electron. J. Comb.},
  year={2021},
  volume={28},
  pages={3}
}
By now, the Maker-Breaker connectivity game on a complete graph $K_n$ or on a random graph $G\sim G_{n,p}$ is well studied. Recently, London and Pluhár suggested a variant in which Maker always needs to choose her edges in such a way that her graph stays connected. By their results it follows that for this connected version of the game, the threshold bias on $K_n$ and the threshold probability on $G\sim G_{n,p}$ for winning the game drastically differ from the corresponding values for the usual… 

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References

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