Generating closed 2-cell embeddings in the torus and the projective plane |
| |
Authors: | D. W. Barnette |
| |
Affiliation: | (1) Department of Mathematics, University of California, 95615 Davis, CA, USA |
| |
Abstract: | If a graphG is embedded in a manifoldM such that all faces are cells bounded by simple closed curves we say that this is a closed 2-cell embedding ofG inM. We show how to generate the 2-cell embeddings in the projective plane from two minimal graphs and the 2-cell embeddings in the torus from six minimal graphs by vertex splitting and face splitting. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|