292 citations · 498 across the 9 of their papers we have counts for
5 papers · 1 filter
Linking number of grid models
Senja Barthel, Yuka Kotorii
This paper studies the linking numbers of random links within the grid model. The linking number is treated as a random variable on the isotopy classes of 2-component links, with t…
Constructing embedded surfaces for cellular embeddings of leveled spatial graphs
Senja Barthel, Fabio Buccoliero
For a given spatial graph , we would like to find a closed orientable surface embedded in in which is c…
On chirality of toroidal embeddings of polyhedral graphs
Senja Barthel
We investigate properties of spatial graphs on the standard torus. It is known that nontrivial embeddings of planar graphs in the torus contain a nontrivial knot or a nonsplit link…
Toroidal embeddings of abstractly planar graphs are knotted or linked
Senja Barthel, Dorothy Buck
We give explicit deformations of embeddings of abstractly planar graphs that lie on the standard torus and that contain neither a nontrivial knot nor a n…
There exist no Minimally Knotted Planar Spatial Graphs on the Torus
Senja Barthel
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 sp…