Sinnema, Marije (2023) Colouring Celtic knotted trivalent graphs. Bachelor's Thesis, Mathematics.
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Abstract
This thesis presents research on Celtic knots using a framework of knotted trivalent graphs (KTGs) with the aim of finding a construction method of Celtic knots and finding a knot invariant of KTGs. We give some basic knot theory and theory on KTGs necessary for understanding the thesis. Additionally, we discuss the colouring of knots and KTGs and prove theorems which give a relation between knot colouring and knot invariance, as well as between KTG colouring and KTG invariance. We use the theory to colour several Celtic knots and analyse the construction of Celtic designs as KTGs.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Veen, R.I. van der |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 10 Jul 2023 12:22 |
| Last Modified: | 10 Jul 2023 12:22 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/30437 |
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