There exist no Minimally Knotted Planar Spatial Graphs on the Torus

Published 28 Nov 2014 in math.GT | (1411.7734v3)

Abstract: We show that all nontrivial embeddings of planar graphs on the torus contain a nontrivial knot or a nonsplit link. This is equivalent to showing that no minimally knotted planar spatial graphs on the torus exist that contain neither a nontrivial knot nor a nonsplit link all of whose components are unknots.

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Authors (1)

Senja Barthel

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