3 papers
math.CO2024
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.CO2024
Preserving and Increasing Symmetries of Polyhedral Maps
Gunnar Brinkmann, Fabio Buccoliero, Heidi Van den Camp
In this article we investigate the question which local symmetry preserving operations can not only preserve, but also increase the symmetry of a polyhedral map. Often operations t…
math.GT2024
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…