论文标题
链接预测的圈子安排
Circle arrangements of link projections
论文作者
论文摘要
定向的链接投影是将定向圆的通用沉浸在2范围内的图像。链接投影的圆排列是在每个交叉点通过定向 - 巧合平滑获得的2个圆圈上的无关圆的不相交结合。我们表明，当且仅当它们通过某些本地移动将它们相互转化时，两个方向的链接预测具有相同的圆形布置。我们还表明，每个奇数（分别均匀）的组件链接都有一个链路投影，其圆排列完全由一个（分别为两个）圆圈组成。
An oriented link projection is the image of a generic immersion of oriented circles into the 2-sphere. The circle arrangement of a link projection is a disjoint union of unoriented circles on the 2-sphere obtained by orientation-incoherent smoothing at each crossing point. We show that two oriented link projections have the same circle arrangement if and only if they are transformed into each other by certain local moves. We also show that every odd (resp. even) component link has a link projection whose circle arrangement consists of exactly one (resp. two) circles.
