4 papers
Maker-Breaker Sabotage Game
Marko Jakovac, Sandi Klavžar, Mirjana Mikalački +1
The Maker-Breaker sabotage game is played on a graph by Runner and Blocker. They play in turns, Runner first moves along a not yet traversed edge from her current position, aft…
Rainbow connectivity Maker-Breaker game
Juri Barkey, Bruno Borchardt, Dennis Clemens +3
We study biased Maker-Breaker games on a graph system , in which Maker's goal is to claim certain rainbow structures, i.e., specified subgraphs consisting of at…
Maker playing against an invisible Breaker
Dennis Clemens, Fabian Hamann, Mirjana Mikalački +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…
The burning game on graphs
Nina Chiarelli, Vesna Iršič, Marko Jakovac +2
Motivated by the burning and cooling processes, the burning game is introduced. Two players (Burner and Staller) play the game on a graph by alternately selecting vertices of $…