292 citations · 498 across the 9 of their papers we have counts for
9 papers
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…
Properties of leveled spatial graphs
Senja Barthel, Fabio Buccoliero
We investigate the property of a spatial graph of having a leveled embedding and characterize the abstract graphs with this property. We show that all leveled embeddings are free a…
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…
SELFIES and the future of molecular string representations
Mario Krenn, Qianxiang Ai, Senja Barthel +28
Artificial intelligence (AI) and machine learning (ML) are expanding in popularity for broad applications to challenging tasks in chemistry and materials science. Examples include…
Note on minimal number of skewed unit cells for periodic distance calculation
Senja Barthel
How many copies of a parallelepiped are needed to ensure that for every point in the parallelepiped a copy of each other point exists, such that the distance between them equals th…
Pore-geometry recognition: on the importance of quantifying similarity in nanoporous materials
Yongjin Lee, Senja D. Barthel, Paweł Dłotko +3
In most applications of nanoporous materials the pore structure is as important as the chemical composition as a determinant of performance. For example, one can alter performance…
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…