## Abstract

Given a map M on a 2-manifold of genus ≥1, it is generally not known when is the map geometrically embeddable in R^{3}. Sufficient conditions are given here in case M is a triangulation of the torus. Those conditions are based on Hamiltonian circuits of certain types and on other circuits in the given map. In the general case, sufficient conditions of a different nature are given. Also, the 2-dimensional skeletons of the cyclic 4-polytopes are studied, from the point of view of the 2-manifolds contained in them.

Original language | English |
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Pages (from-to) | 211-238 |

Number of pages | 28 |

Journal | Discrete Mathematics |

Volume | 1 |

Issue number | 3 |

DOIs | |

State | Published - 1 Jan 1971 |

Externally published | Yes |

## ASJC Scopus subject areas

- Theoretical Computer Science
- Discrete Mathematics and Combinatorics

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