结表多达五个三重交叉和移动之间的定向图

Pub Date : 2023-06-01 DOI:10.3836/tjm/1502179382

Michał Jabłonowski

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引用次数: 4

摘要

我们列举并显示最小图表，所有素数结，直到三交数等于5。我们导出了连接同一方向结的三交叉图的方向移动的最小生成集。我们还提出了一个关于结的三交数的严格下界与其亚历山大多项式的宽度有关的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Tabulation of Knots Up to Five Triple-crossings and Moves between Oriented Diagrams

We enumerate and show tables of minimal diagrams for all prime knots up to the triple-crossing number equal to five. We derive a minimal generating set of oriented moves connecting triple-crossing diagrams of the same oriented knot. We also present a conjecture about a strict lower bound of the triple-crossing number of a knot related to the breadth of its Alexander polynomial.

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