Domination game: Extremal families of graphs for -conjectures
✍ Scribed by Brešar, Boštjan; Klavžar, Sandi; Košmrlj, Gašper; Rall, Douglas F.
- Book ID
- 122783585
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 438 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
The Strong Perfect Graph Conjecture states that a graph is perfect iff neither it nor its complement contains an odd chordless cycle of size greater than or equal to 5. In this article it is shown that many families of graphs are complete for this conjecture in the sense that the conjecture is true
## Abstract The game domination number of a (simple, undirected) graph is defined by the following game. Two players, \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle{empty}\begin{document}${\mathcal{A}}$\end{document} and \docume