论文标题
关于$ k_n $的简单图纸结构的备注
Remarks on the structure of simple drawings of $K_n$
论文作者
论文摘要
在研究球体中完整图的简单图纸的属性时，我们出现了两个自然问题：边缘可以在同一面部边界上有多个段吗？每个都面对3个蛋白的侧面的交点吗？第二篇在先前发表的文章中被认为是显而易见的，但是当被问及时，两篇论文的作者都无法提供证据。我们提供证据。第一个很容易被证明，并且该技术产生了第三个，甚至更简单的事实：顶点的三个边缘都没有同一面的内部点事件。
In studying properties of simple drawings of the complete graph in the sphere, two natural questions arose for us: can an edge have multiple segments on the boundary of the same face? and is each face the intersection of sides of 3-cycles? The second is asserted to be obvious in two previously published articles, but when asked, authors of both papers were unable to provide a proof. We present a proof. The first is quite easily proved and the technique yields a third, even simpler, fact: no three edges at a vertex all have internal points incident with the same face.
