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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:
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