The Reverse Operation Of Knot Digraph Notation

The bitopologies have been associated with some knots in the literature with the help of a method called the knot digraph notation. The knot graphs and quasi pseudo metric spaces were used to obtain these bitopologies. With the help of quasi pseudo metrics, two topologies were obtained on a set. In this way, an association between some knots and bitopologies was established. The authors sought an answer to the question “Given the bitopologies associated with knots, can the knot itself be obtained ?” and they gave a method. This mentioned method consists of 6 steps.. In this work, it is shown in detail that according to the Alexander-Briggs notation, the reverse of the knot digraph notation is provided for the knots 3(1), 5(1), 5(2), 6(1), 6(2), 7(1), 7(2), 7(3), 8(1), 8(2), 8(3), 9(1), 9(2), 9(3), 10(1), 10(2), 10(3).

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Düğümlerle Eşlenen Bitopolojiler Üzerine Bir Çalışma

Yalaz

Ugur

Elmali

2023

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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The Reverse Operation Of Knot Digraph Notation

Abstract: It is well known that bitopologies associated with knot digraphs is finded by using knot digraph notation. In this work, we have developed a method that we called reverse of knot digraph notation to find out which knot belongs to when a bitopology associated with the knot is given.

Cited by 1 publication

References 5 publications

Düğümlerle Eşlenen Bitopolojiler Üzerine Bir Çalışma

Düğümlerle Eşlenen Bitopolojiler Üzerine Bir Çalışma

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