An inductive definition of cubic toroidal maps

  • Authors:
  • Thomas Harmuth

  • Affiliations:
  • Universität Bielefeld, FSP Mathematisierung, Postfach 100131, D-33501 Bielefeld, Germany

  • Venue:
  • Discrete Applied Mathematics - Sixth Twente Workshop on Graphs and Combinatorial Optimization
  • Year:
  • 2002

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Abstract

An inductive definition of the class of all cubic toroidal maps will be given. Moreover, it will be demonstrated how this definition can be used to develop an efficient algorithm which constructs all cubic toroidal maps with a limited number of vertices.