论文标题
通过区域越过变化的空间图的不结差
Unknottability of spatial graphs by region crossing changes
论文作者
论文摘要
区域交叉变化是空间图表上的局部变换，该空间图图在区域边界上的所有交叉点上切换了上/之间的关系。在本文中，我们表明，当且仅当空间图是非欧拉尔或欧拉尔和适当的情况下，平面图的空间图无法通过区域交叉变化进行开关。
A region crossing change is a local transformation on spatial graph diagrams switching the over/under relations at all the crossings on the boundary of a region. In this paper, we show that a spatial graph of a planar graph is unknottable by region crossing changes if and only if the spatial graph is non-Eulerian or is Eulerian and proper.
