Properties of leveled spatial graphs

New preprint on leveled embeddings of spatial graphs

By Senja Barthel and Fabio Buccoliero.

Leveled spatial graphs are studied regarding other spatial graph properties, including being free or paneled. New graph invariants are defined for an abstract graph permitting a leveled embedding: the level number and the hamiltonian level number for hamiltonian graphs. The level numbers for complete graphs and complete bipartite graphs are obtained.

The preprint is available on arxiv.