Title
Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane
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.
Year
DOI
Venue
1987
10.1007/BF02187881
Discrete & Computational Geometry
Keywords
Field
DocType
Projective Plane,Simple Representation,Multiple Edge,Interior Vertex,Simple Closed Curf
Real projective plane,Topology,Blocking set,Combinatorics,Line at infinity,Non-Desarguesian plane,Plane curve,Fano plane,Projective plane,Mathematics,Projective space
Journal
Volume
Issue
ISSN
2
1
0179-5376
Citations 
PageRank 
References 
3
0.47
1
Authors
1
Name
Order
Citations
PageRank
David W. Barnette151.24