The Graph Coloring Game

Planar Graph Coloring with an Uncooperative Partner by Kierstead and Trotter. Game chromatic number of a planar graph is less than or equal to 33.

A New Game Chromatic Number by Chen, Schelp, Shreve. aGme chromatic number of a tree is less than or equal to 3.

Graphs with Linearly Bounded Ramsey Numbers. The game chromatic number of any planar graph is constant.

The Map Coloring Game by Bartnicki, Grytezhuk, Kiestead, Zhu. Summarizes progress on planar graphs and shows that all planar graphs have chromatic number at most 18.