Abstract
In this paper, we study the strong game colouring number of directed graphs. It is proved that every oriented partial 2-tree has strong game colouring number at most 7 and every oriented planar graph has strong game colouring number at most 15. Copyright © 2013 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 1070-1077 |
Journal | Discrete Mathematics |
Volume | 313 |
Issue number | 10 |
Early online date | Mar 2013 |
DOIs | |
Publication status | Published - May 2013 |
Citation
Chan, W. H., Shiu, W. C., Sun, P. K., & Zhu, X. D. (2013). The strong game colouring number of directed graphs. Discrete Mathematics, 313(10), 1070-1077.Keywords
- Digraph
- Colouring game
- Marking game
- Partial 2-tree
- Planar graph