We introduce in this paper the notion of the chromatic number of an oriented graph G (that is of an antisymmetric directed graph) defined as the minimum order of an oriented graph H such that G admits a homomorphism to H. We study the chromatic number of oriented k-trees and of oriented graphs with
Game chromatic number of outerplanar graphs
β Scribed by Guan, D. J.; Zhu, Xuding
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 172 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
This note proves that the game chromatic number of an outerplanar graph is at most 7. This improves the previous known upper bound of the game chromatic number of outerplanar graphs.
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