Constrained Knot Representation and Its Characteristics : 紐デザイン処理(3)

概要

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Characteristics of knot(string diagram)are very important in knot theory. We consider a knot in R^2 that is constrained by some points and we call it as a constrained knot. Fig. 1(a) shows a constrained knot diagram in space R^3 while its projection on two-dimensional plane R^2 is shown in Fig. 1(b).[figure] In this paper we develop a program for generating the polynomial of any knot and displaying its state diagram. The motivation of this investigation is first to express symbolically the polynomial of any knot diagram, the second is to find some basic properties of any knot diagram, and the third is to prove mathematically those properties. constrained knot diagram will be represented by several components, i.e: crosses, lines, areas, and points.
一般社団法人情報処理学会の論文
1994-03-07