… a graph has acyclic chromatic number k, then its game chromatic number is at … chromatic
numbers of various classes of graphs, we obtain upper bounds for the game chromatic number …

… every oriented path has oriented game chromatic number at … ), that every oriented tree has
oriented game chromatic number at … oriented outerplanar graph has oriented game chromatic …

… game chromatic number which unifies the ideas of game chromatic number and incidence
coloring number … 2 Δ + 4 k − 2 for the incidence game chromatic number is given. If Δ ≥ 5 k , …

… Digraph colouring game We prove that the game chromatic and the game colouring number
of the class of orientations of cactuses with girth of 2 or 3 is 4. We improve this bound for the …

… the game chromatic number χg(G2H) is not bounded from above by a function of game chromatic
numbers … An analogous result is derived for the game coloring number of the Cartesian …

… This paper investigates a variation of the game chromatic number of a graph. The game
chromatic number is defined through a two person game. Let G =(V; E) be a graph, and let C be …

… In this paper, we study the game chromatic number of the random graph Gn,p and the … This
leads to the game chromatic number being significantly larger than the chromatic number. In …

… coloring number of (a; b)-pseudo partial 2-trees. Namely, we prove that the game coloring
number … By using this result, we prove that the game coloring number of a graph embeddable …

… number, in order to simplify notation we will omit “directed” even when talking about …
The directed game chromatic number is not related to the oriented game chromatic number …

… game chromatic number is at most 33. Moreover they proved that any graph embeddable on
an orientable surface of genus q has game chromatic number … the game chromatic number …