The incidence game chromatic number Original Research Article

We introduce the incidence game chromatic number which unifies the ideas of game chromatic number and incidence coloring number of an undirected graph. For image-degenerate graphs with maximum degree image, the upper bound image for the incidence game chromatic number is given. If image, we improve this bound to the value image. We also determine the exact incidence game chromatic number of cycles, stars and sufficiently large wheels and obtain the lower bound image for the incidence game chromatic number of graphs of maximum degree image.