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math.CO2025
The Avoider-Enforcer game on hypergraphs of rank 3
Florian Galliot, Valentin Gledel, Aline Parreau
In the Avoider-Enforcer convention of positional games, two players, Avoider and Enforcer, take turns selecting vertices from a hypergraph H. Enforcer wins if, by the time all vert…
math.CO2024
Poset Positional Games
Guillaume Bagan, Eric Duchêne, Florian Galliot +5
We propose a generalization of positional games, supplementing them with a restriction on the order in which the elements of the board are allowed to be claimed. We introduce poset…