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A new method for knot tables: Knot digraph notation

2017
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Advisor: Doç. Dr. Ceren Sultan Elmalı

Abstract (EN)

A new method for creating knot tables was developed. In this method, which we call the knot digraph notation, a bitopology is matched to the digraphs obtained from the knot graph by quasi-pseudo metric. By classifying these bitopologies, new knot tables were obtained. Literature was given in the introduction. In the second part, fundamental definitions and theorems such as knot, graph, digraph, bitopological space are expressed. In the third part, knot graph, dual graph and digraphs are obtained, and depending on these, bitopologies are obtained by means of quasi-pseudo metric. In the fourth section, the graphs obtained from knots m_n, with m=3,4,…,10 and n=1,2,3 each of the bitopologies created by the digraphs is given individually. In the last section, various classifications of m_n knots are given, with m=3,4,…,10 and n=1,2,3 depending on the bitopologies obtained.

Author

Dr. Tuğçe Kunduracı

How to Cite

Tuğçe Kunduracı (Master Thesis). A new method for knot tables: Knot digraph notation, 2017, Erzurum Technical University.

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