论文标题
晶格结的顶点失真
Vertex distortion of lattice knots
论文作者
论文摘要
晶格结的顶点失真是一对沿结的顶点及其在L1-norm中的距离之间距离之比的最高。我们与格罗莫夫，赦免和布莱尔 - 坎迪 - 泰勒 - 托莫娃的平滑结的变形相似，以使顶点扭曲：晶格结的顶点失真是1仅当它是无结节的情况下，并且与lattice-shot snewot and newot and newot and the newot and the lattice stick-stick-stick-stick-stick-stick-newot snewot shot snewot snewot contructions the the tocex。
The vertex distortion of a lattice knot is the supremum of the ratio of the distance between a pair of vertices along the knot and their distance in the l1-norm. We show analogous results to those of Gromov, Pardon and Blair-Campisi-Taylor-Tomova about the distortion of smooth knots hold for vertex distortion: the vertex distortion of a lattice knot is 1 only if it is the unknot, and that there are minimal lattice-stick number knot conformations with arbitrarily high distortion.
