2 papers
math.CO2026
Stotting in positional games
Johannes Carmesin, Yannick Mogge
We introduce variants of the Maker-Breaker and Waiter-Client games, which we call \emph{stotting}, in which a player grants a slight advantage to the opponent. We prove that a winn…
math.CO2025
Canonical Decompositions of 3-Connected Graphs
Johannes Carmesin, Jan Kurkofka
We offer a new structural basis for the theory of 3-connected graphs, providing a unique decomposition of every such graph into parts that are either quasi 4-connected, wheels, or…