与仙人掌玩游戏
Playing Games with Cacti
摘要：
循环游戏是一个两人公平的数学游戏，由Francis Su在他的书Mathematics for Human Flourishing（2020）中介绍。游戏在简单的可平面图上进行，玩家轮流使用汇源规则标记边缘。在Alvarado等人的研究中，作者使用镜像反转策略来确定谁能够在具有某些类型的对称性的图上获胜。在本文中，我们分析了特定类型的仙人掌图的镜像反转策略的修改版本的游戏。
英文摘要：
The Game of Cycles is a two-player impartial mathematical game, introduced by Francis Su in his book Mathematics for Human Flourishing (2020). The game is played on simple planar graphs in which players take turns marking edges using a sink-source rule. In Alvarado et al., the authors determine who is able to win on graphs with certain types of symmetry using a mirror-reverse strategy. In this paper, we analyze the game for specific types of cactus graphs using a modified version of the mirror-reverse strategy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
