Construction and enumeration of regular maps on the torus

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68 Scopus citations


A construction is given for all the regular maps of type {3, 6} on the torus, with vvertices, v being any integer > 0. We also find bounds for the number of those maps, in particular for the case in which the maps contain "normal" Hamiltonian circuits. Using duality, the results may be applied for the maps of type {6, 3} too.

Original languageEnglish
Pages (from-to)201-217
Number of pages17
JournalDiscrete Mathematics
Issue number3
StatePublished - 1 Jan 1973

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics


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