论文标题

欧拉图上的反馈游戏

Feedback game on Eulerian graphs

论文作者

Matsumoto, Naoki, Nagao, Atsuki

论文摘要

在本文中,我们在图形上介绍了一个两人公正的游戏,称为{\ em反馈游戏},该游戏是广义地理的变体。我们研究有关欧拉图的反馈游戏。特别是,我们证明了游戏的Pspace完整性,并在几类Eulerian图形上确定了游戏的获胜者。

In this paper, we introduce a two-player impartial game on graphs, called a {\em feedback game}, which is a variant of the generalized geography. We study the feedback game on Eulerian graphs. In particular, we show that the PSPACE-completeness of the game and determine the winner of the game on several classes of Eulerian graphs.

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