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The American Mathematical Monthly Volume 126, 2019 - Issue 6
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Original Articles

Knots Related by Knotoids

Colin AdamsDepartment of Mathematics and Statistics, Williams College, Williamstown, [email protected]View further author information
,
Allison HenrichMathematics Department, Seattle University, Seattle, [email protected]ORCID Iconhttp://orcid.org/0000-0002-0417-0053View further author information
ORCID Icon,
Kate KearneyMathematics Department, Gonzaga University, Spokane, [email protected]View further author information
&
Nicholas ScovilleMathematics and Computer Science Department, Ursinus College, Collegeville, [email protected]View further author information
Pages 483-490 | Received 05 Feb 2018, Accepted 20 Aug 2018, Published online: 29 May 2019

References

  • Gügümcü, N., Kauffman, L. (2017). New invariants of knotoids. Eur. J. Combin. 65: 186–229. DOI: 10.1016/j.ejc.2017.06.004.
  • Hotz, G. (1960). Arkadenfadendarstellung von Knoten und eine neue Darstellung der Knotengruppe. Abh. Math. Sem. Univ. Hamburg. 24: 132–148.
  • Kauffman, L. (1999). Virtual knot theory. Eur. J. Combin. 29(7): 663–690. DOI: 10.1006/eujc.1999.0314.
  • Ozawa, M. (2007). Edge number of knots and links. Available at: arxiv.org/abs/0705.4348
  • Turaev, V. (2012). Knotoids. Osaka J. Math. 49(1): 195–223.

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