论文标题
新的结节图
New classes of minimal knot diagrams
论文作者
论文摘要
我们描述了新的最小链接图。该类包括某些交替图,所有圆环链接的标准图以及众多均匀图,这些图以前尚未得到证明。此外,我们描述了一个新的较大类链路图,在给定链接的所有图中,塞弗特圆圈数量最少。我们的方法是指莫顿 - 弗兰克 - 威廉姆斯不平等。
We describe a new class of minimal link diagrams. This class includes certain alternating diagrams, the standard diagrams of all torus links, and numerous homogeneous diagrams whose minimality has not been proven before. Besides, we describe a new larger class of link diagrams with the least number of Seifert circles among all diagrams of a given link. Our approach refers to the Morton-Franks-Williams inequality.