New examples of Brunnian theta graphs

  title={New examples of Brunnian theta graphs},
  author={Byoungwook Jang and Anna Kronaeur and P. Luitel and D. Medici and Scott A. Taylor and Alexander Martin Zupan},
  journal={arXiv: Geometric Topology},
The Kinoshita graph is the most famous example of a Brunnian theta graph, a nontrivial spatial theta graph with the property that removing any edge yields an unknot. We produce a new family of diagrams of spatial theta graphs with the property that removing any edge results in the unknot. The family is parameterized by a certain subgroup of the pure braid group on four strands. We prove that infinitely many of these diagrams give rise to non-isotopic Brunnian theta graphs. 

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  • R. Litherland
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1989
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