Online size Ramsey numbers: Odd cycles vs connected graphs

Grzegorz Adamski, Małgorzata Bednarska-Bzdęga

Given two graph families ${\mathcal{H}}_1$ and ${\mathcal{H}}_2$, a size Ramsey game is played on the edge set of $K_{\mathbb{N}}$. In every round, Builder selects an edge and Painter colo…