Knot theory, in essence, began from the necessity to construct knot tables. Towards the end of the 19th century, several mathematical tables of knots were published independently by Little and Tait in British science journals. They managed to compile tables that in total consisted of around 800 knots, arranged in order from the simplest to the most “complicated.” However, since these tables included, for example, the two knots in Figure 1.2.1 as “distinct” knots, these tables were subsequently found to be incomplete. However, considering that these lists were compiled around 100 years ago, they are accurate to a very high degree. In this chapter we shall explain two typical methods of compiling knot tables.
KeywordsPlane Graph Double Point Connected Plane Graph Connected Plane Link Graph
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