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math.CO2022
Incidence, a Scoring Positional Game on Graphs
Guillaume Bagan, Quentin Deschamps, Eric Duchêne +5
Positional games have been introduced by Hales and Jewett in 1963 and have been extensively investigated in the literature since then. These games are played on a hypergraph where…
math.CO2022
Avoidance games are PSPACE-Complete
Valentin Gledel, Nacim Oijid
Avoidance games are games in which two players claim vertices of a hypergraph and try to avoid some structures. These games are studied since the introduction of the game of SIM in…
math.CO2022
Bipartite instances of INFLUENCE
Eric Duchêne, Nacim Oijid, Aline Parreau
The game INFLUENCE is a scoring combinatorial game that has been introduced in 2020 by Duchene et al. It is a good representative of Milnor's universe of scoring games, i.e. games…