On the Computational Complexity of the Domination Game
نویسندگان
چکیده
The domination game is played on an arbitrary graph G by two players, Dominator and Staller. It is known that verifying whether the game domination number of a graph is bounded by a given integer k is PSPACE-complete. On the other hand, it is showed in this paper that the problem can be solved for a graph G in O(∆(G) · |V (G)|k) time. In the special case when k = 3 and the graph G considered has maximum diameter, the complexity is improved to O(|V (G)| · |E(G)|+ ∆(G)3).
منابع مشابه
On the Computational Complexity of the Domination Game
The domination game is played on an arbitrary graph $G$ by two players, Dominator and Staller. It is known that verifying whether the game domination number of a graph is bounded by a given integer $k$ is PSPACE-complete. On the other hand, it is showed in this paper that the problem can be solved for a graph $G$ in $mathcal O(Delta(G)cdot |V(G)|^k)$ time. In the special case when $k=3$ and the...
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