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{\bf J. Ne\v set\v ril and  E. Sopena}
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{\bf On the Oriented Game Chromatic Number}
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We consider the oriented version of a coloring
game introduced by Bodlaender
[On the complexity of some coloring games,
{\it Internat. J. Found. Comput. Sci.} {\bf 2} (1991), 133--147].
We prove that every oriented path has oriented game chromatic
number at most 7 (and this bound is tight),
that every oriented tree has oriented game
chromatic number at most 19 and that there exists a constant
$t$ such that every oriented
outerplanar graph has oriented game chromatic number
at most $t$.

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