论文标题

Avoider-Enforcer游戏是NP-HARD

Avoider-Enforcer Game is NP-hard

论文作者

Miltzow, Tillmann, Stojaković, Miloš

论文摘要

在Avoider-enforcer游戏中,我们获得了超图。 Avoider和Enforcer在声称无人认领的顶点替代,直到声称所有超图的顶点为止。如果Avoider声称所有边缘的顶点,执行者将获胜; Avoider获胜。我们表明,决定Avoider是否有胜利策略是NP-HARD。

In an Avoider-Enforcer game, we are given a hypergraph. Avoider and Enforcer alternate in claiming an unclaimed vertex, until all the vertices of the hypergraph are claimed. Enforcer wins if Avoider claims all vertices of an edge; Avoider wins otherwise. We show that it is NP-hard to decide if Avoider has a winning strategy.

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