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Stick number and its use

Urša Šega (2017) Stick number and its use. Diploma thesis.

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    Abstract

    In diploma thesis we will describe concept of a knot invariant known as the stick number. This concept proves to be useful when we want to determine if two knots are equivalent. A review of main definitions from knot theory will be made before introducing a concept of the stick number, which is essential for understanding the thesis. Furthermore, a concept of the stick number and its features for different knot classes will be introduced and also, for better understanding, illustrated by few examples. Some theorems will be given and demonstrated by examples, which can come in handy at finding the stick number. Last chapter presents a knot invariant known as the crossing number, which is useful for determining the stick number.

    Item Type: Thesis (Diploma thesis)
    Keywords: knot invariant, stick number, crossing number
    Number of Pages: 28
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    prof. dr. Dušan RepovšMentor
    prof. dr. Matija CenceljComentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=11743561)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 4780
    Date Deposited: 29 Sep 2017 09:00
    Last Modified: 29 Sep 2017 09:00
    URI: http://pefprints.pef.uni-lj.si/id/eprint/4780

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