Outer-embeddability in certain pseudosurfaces arising from three spheres

Abstract: In this paper we study graph embeddings in pseudosurfaces formed by three spheres sharing at most two points each pair, and in such a way that all vertices in the graph are in the same face. Our results and examples show that the behaviour of outer embeddings in these pseudosurfaces is rather different from embeddings on the pseudosurfaces considered in the literature so far. [ABSTRACT FROM AUTHOR]