Volume 10, Issue 2 (10-2015)                   IJMSI 2015, 10(2): 115-122 | Back to browse issues page

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Klavzar S, Kosmrlj G, Schmidt S. On the Computational Complexity of the Domination Game. IJMSI. 2015; 10 (2) :115-122
URL: http://ijmsi.ir/article-1-794-en.html

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 graph $G$ considered has maximum diameter, the complexity is improved to $mathcal O (|V(G)|cdot |E(G)|+Delta(G)^3)$.

Type of Study: Research paper | Subject: General

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