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The game chromatic number χg is considered for the Cartesian product G 2 H of two graphs G and H. We determine exact values of χ g (G2H) when G and H belong to certain classes of graphs, and show that, in general, the game chromatic number χg(G2H) is not bounded from above by a function of game chromatic numbers of graphs G and H. An analogous result is(More)
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