### Abstract

We construct an infinite set of knotted handcuff graphs such that the set of the regular projections of the handcuff graphs in the set equals the set of the regular projections of all knotted handcuff graphs. We also show that no finite set of knotted handcuff graphs have this property.

Original language | English |
---|---|

Pages (from-to) | 509-517 |

Number of pages | 9 |

Journal | Journal of Knot Theory and its Ramifications |

Volume | 7 |

Issue number | 4 |

Publication status | Published - 1998 |

Externally published | Yes |

### Fingerprint

### Keywords

- Handcuff graph
- Knotted graph
- Regular projection
- Spatial graph

### ASJC Scopus subject areas

- Algebra and Number Theory

### Cite this

*Journal of Knot Theory and its Ramifications*,

*7*(4), 509-517.

**Regular projections of knotted handcuff graphs.** / Taniyama, Kouki; Yoshioka, Chizu.

Research output: Contribution to journal › Article

*Journal of Knot Theory and its Ramifications*, vol. 7, no. 4, pp. 509-517.

}

TY - JOUR

T1 - Regular projections of knotted handcuff graphs

AU - Taniyama, Kouki

AU - Yoshioka, Chizu

PY - 1998

Y1 - 1998

N2 - We construct an infinite set of knotted handcuff graphs such that the set of the regular projections of the handcuff graphs in the set equals the set of the regular projections of all knotted handcuff graphs. We also show that no finite set of knotted handcuff graphs have this property.

AB - We construct an infinite set of knotted handcuff graphs such that the set of the regular projections of the handcuff graphs in the set equals the set of the regular projections of all knotted handcuff graphs. We also show that no finite set of knotted handcuff graphs have this property.

KW - Handcuff graph

KW - Knotted graph

KW - Regular projection

KW - Spatial graph

UR - http://www.scopus.com/inward/record.url?scp=0032382109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032382109&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 509

EP - 517

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 4

ER -