## Abstract A proper edge coloring of a graph __G__ is called acyclic if there is no 2βcolored cycle in __G__. The acyclic edge chromatic number of __G__, denoted by Ο(__G__), is the least number of colors in an acyclic edge coloring of __G__. In this paper, we determine completely the acyclic edge
The\(r\)-acyclic chromatic number of planar graphs
β Scribed by Wang, Guanghui; Yan, Guiying; Yu, Jiguo; Zhang, Xin
- Book ID
- 120694274
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 194 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1382-6905
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π SIMILAR VOLUMES
The star-chromatic number of a graph, a parameter introduced by Vince, is a natural generalization of the chromatic number of a graph. Here we construct planar graphs with star-chromatic number r, where r is any rational number between 2 and 3, partially answering a question of Vince.
The oriented chromatic number Ο o ( G) of an oriented graph G = (V, A) is the minimum number of vertices in an oriented graph H for which there exists a homomorphism of G to H. The oriented chromatic number Ο o (G) of an undirected graph G is the maximum of the oriented chromatic numbers of all the