3 papers
math.CO2025
Constructions for positional games and applications to domination games
Ali Deniz Bagdas, Dennis Clemens, Fabian Hamann +1
We present constructions regarding the general behaviour of biased positional games, and amongst others show that the outcome of such a game can differ in an arbitrary way dependin…
math.CO2025
Maker playing against an invisible Breaker
Dennis Clemens, Fabian Hamann, Mirjana MikalaÄki +2
We initiate the study of the phantom version of Maker-Breaker positional games. In a phantom game, the moves of one of the players are hidden from the other player, who still has t…
math.CO2024
Biased domination games
Ali Deniz Bagdas, Dennis Clemens, Fabian Hamann +1
We consider a biased version of Maker-Breaker domination games, which were recently introduced by Gledel, Ir{Å¡}i{Ä}, and Klav{ž}ar. Two players, Dominator and Staller, alternati…