Game Chromatic Number of Direct Product of Some Families of Graphs

In this paper, we determine the exact values of the game chromatic number of direct product graphs K1,n×K1,mK1,n×K1,m, Km,n×Ka,bKm,n×Ka,b, Pn×K1,mPn×K1,m, P2×WnP2×Wn and P2×CnP2×Cn.