Generating Maps on Surfaces

@article{Sulanke2017GeneratingMO,
  title={Generating Maps on Surfaces},
  author={Thom Sulanke},
  journal={Discrete \& Computational Geometry},
  year={2017},
  volume={57},
  pages={335-356}
}
  • T. Sulanke
  • Published 21 September 2015
  • Mathematics
  • Discrete & Computational Geometry
We describe procedures for generating all 2-cell embedded simple graphs with up to a fixed number of vertices on a given surface. We also modify these procedures to generate closed 2-cell embeddings and polyhedral embeddings. We give results of computer implementations of these procedures for seven surfaces: the sphere, the torus, the double torus, the projective plane, the Klein bottle, the triple cross surface, and the quadruple cross surface. 

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