Acyclic coloring of graphs of maximum degree five: Nine colors are enough
نویسندگان
چکیده
An acyclic coloring of a graph G is a coloring of its vertices such that: (i) no two neighbors in G are assigned the same color and (ii) no bicolored cycle can exist in G. The acyclic chromatic number of G is the least number of colors necessary to acyclically color G. In this paper, we show that any graph of maximum degree 5 has acyclic chromatic number at most 9, and we give a linear time algorithm that achieves this bound.
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ورودعنوان ژورنال:
- Inf. Process. Lett.
دوره 105 شماره
صفحات -
تاریخ انتشار 2008