Grannell, M.J.; Griggs, T.S.; Korzhik, V.P. and Siran, Jozef
(2003).
*Discrete Mathematics*, 269(1-3) pp. 149–160.

DOI (Digital Object Identifier) Link: | https://doi.org/10.1016/S0012-365X(02)00751-3 |
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## Abstract

Given two triangular embeddings f and f′ of a complete graph K and given a bijection : V(K)→V(K), denote by M() the set of faces (x,y,z) of f such that ((x),(y),(z)) is not a face of f′. The distance between f and f′ is the minimal value of |M()| as ranges over all bijections between the vertices of K. We consider the minimal nonzero distance between two triangular embeddings f and f′ of a complete graph. We show that 4 is the minimal nonzero distance in the case when f and f′ are both nonorientable, and that 6 is the minimal nonzero distance in each of the cases when f and f′ are orientable, and when f is orientable and f′ is nonorientable.

Item Type: | Journal Item |
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ISSN: | 0012-365X |

Extra Information: | Some of the symbols may not have transferred correctly into this bibliographic record and/or abstract. |

Keywords: | Topological embedding; Complete graph |

Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |

Item ID: | 2901 |

Depositing User: | Terry Griggs |

Date Deposited: | 20 Jun 2006 |

Last Modified: | 16 Oct 2017 08:38 |

URI: | http://oro.open.ac.uk/id/eprint/2901 |

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