链接平滑游戏
The Link Smoothing Game
摘要：
我们介绍一个拓扑组合游戏称为链接平滑游戏。游戏是在一个链接图的阴影上进行的，合法的移动包括平滑的预交叉。一个玩家的目标是保持图的连接，而另一个玩家的目标是断开阴影。我们取得了重大进展，走向一个完整的分类链接阴影到结果类利用链接阴影和可平面图与他们的棋盘着色之间的关系。
英文摘要：
We introduce a topological combinatorial game called the Link Smoothing Game. The game is played on the shadow of a link diagram and legal moves consist of smoothing precrossings. One player's goal is to keep the diagram connected while the other player's goal is to disconnect the shadow. We make significant progress towards a complete classification of link shadows into outcome classes by capitalizing on the relationship between link shadows and the planar graphs associated to their checkerboard colorings.
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。
