Constructing embedded surfaces for cellular embeddings of leveled spatial graphs

Senja Barthel, Fabio Buccoliero

For a given spatial graph $\mathcal{G}\subset {\mathbb{R}}^3$, we would like to find a closed orientable surface $\mathcal{S}$ embedded in ${\mathbb{R}}^3$ in which $\mathcal{G}$ is c…