3 papers
math.GT2025
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…
math.CO2025
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…
math.GT2025
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…