In this thesis, we study alternating virtual knots. We show the Alexander
polynomial of an almost classical alternating knot is alternating. We give a
characterization theorem for alternating knots in terms of Goeritz matrices.
We prove any reduced alternating diagram has minimal genus, and use this
to prove the frst Tait Conjecture for virtual knots, namely any reduced diagram
of an alternating virtual knot has minimal crossing number. / Thesis / Doctor of Philosophy (PhD)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/23724 |
| Date | January 2018 |
| Creators | Karimi, Homayun |
| Contributors | Boden, Hans, Mathematics and Statistics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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