Bounds for the game coloring number of planar graphs with a specific girth

Keaitsuda Maneeruk Nakprasit, Kittikorn Nakprasit

Let $\mathrm{co}{\mathrm{l}}_{\mathrm{g}}(G)$ be the game coloring number of a given graph $G.$ Define the game coloring number of a family of graphs $\mathcal{H}$ as ${\rm col_g}(\mathcal{H}) := \max\{{\r…