Publications [#379910] of Dorothy Buck

Papers Published

1. Barthel, S; Buck, D, Toroidal embeddings of abstractly planar graphs are knotted or linked, Journal of Mathematical Chemistry, vol. 53 no. 8 (September, 2015), pp. 1772-1790 [doi]
   (last updated on 2026/01/21)

   Abstract:
   We give explicit deformations of embeddings of abstractly planar graphs that lie on the standard torus $$T^2 \subset \mathbb {R}^3$$^T2⊂^R3 and that contain neither a nontrivial knot nor a nonsplit link into the plane. It follows that ravels do not embed on the torus. Our results provide general insight into properties of molecules that are synthesized on a torus.