# New examples of Brunnian theta graphs

@article{Jang2015NewEO, 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}, year={2015} }

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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