Online Ramsey theory for a triangle on $F$-free graphs

Hojin Choi, Ilkyoo Choi, Jisu Jeong +1

Given a class $\mathcal{C}$ of graphs and a fixed graph $H$, the online Ramsey game for $H$ on $\mathcal{C}$ is a game between two players Builder and Painter as follows: an unbound…