Quadruple crossing number of knots and links

@article{Adams2013QuadrupleCN,
  title={Quadruple crossing number of knots and links},
  author={C. Adams},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  year={2013},
  volume={156},
  pages={241 - 253}
}
  • C. Adams
  • Published 2013
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
Abstract A quadruple crossing is a crossing in a projection of a knot or link that has four strands of the knot passing straight through it. A quadruple crossing projection is a projection such that all of the crossings are quadruple crossings. In a previous paper, it was proved that every knot and link has a quadruple crossing projection and hence, every knot has a minimal quadruple crossing number c4(K). In this paper, we investigate quadruple crossing number, and in particular, use the span… Expand
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