| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659959 | Topology and its Applications | 2012 | 4 Pages |
Abstract
For any closed connected orientable 3-manifold M, we present a method for constructing infinitely many hyperbolic spatial embeddings of a given finite graph with no vertex of degree less than two from hyperbolic spatial graphs in S3 via the Heegaard splitting theory. These spatial embeddings are adjustable so as to take cycle subgraphs into specified homotopy classes of loops in M.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
