Grannell, M. J.; Griggs, T. S. and Knor, M.
(2003).
*Congressus Numerantium*, 163, pp. 197–205.

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## Abstract

An embedding of a graph is said to be regular if and only if for every two triples and , where is an edge incident with the vertex and the face , there exists an automorphism of which maps to , to and to . We show that for (mod 8) there is, up to isomorphism, precisely one regular Hamiltonian embedding of in an orientable surface, and that for (mod 8) there are precisely two such embeddings. We give explicit constructions for these embeddings as lifts of spherical embeddings of dipoles.

Item Type: | Journal Article |
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Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Item ID: | 22779 |

Depositing User: | Mike Grannell |

Date Deposited: | 18 Aug 2010 13:21 |

Last Modified: | 15 Jan 2016 14:49 |

URI: | http://oro.open.ac.uk/id/eprint/22779 |

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