Game Chromatic Number of Cartesian Product Graphs

نویسندگان

  • Tomasz Bartnicki
  • Bostjan Bresar
  • Jaroslaw Grytczuk
  • Matjaz Kovse
  • Zofia Miechowicz
  • Iztok Peterin
چکیده

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 χg(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 proved for the game coloring number colg(G2H) of the Cartesian product of graphs.

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عنوان ژورنال:
  • Electronic Notes in Discrete Mathematics

دوره 29  شماره 

صفحات  -

تاریخ انتشار 2007