Asymmetric directed graph coloring games
نویسنده
چکیده
This note generalizes the (a, b)-coloring game and the (a, b)-marking game which were introduced by Kierstead [7] for undirected graphs to directed graphs. We prove that the (a, b)-chromatic and (a, b)-coloring number for the class of orientations of forests is b + 2 if b ≤ a, and infinity otherwise. From these results we deduce upper bounds for the (a, b)-coloring number of oriented outerplanar graphs and of orientations of graphs embeddable in a surface with bounded girth.
منابع مشابه
Asymmetric graph coloring games
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عنوان ژورنال:
- Discrete Mathematics
دوره 309 شماره
صفحات -
تاریخ انتشار 2009