### 抜粋

Izmestiev, Klee and Novik proved that any two balanced triangulations of a closed surface F^{2} can be transformed into each other by a sequence of six operations called basic cross flips. Recently Murai and Suzuki proved that among these six operations only two operations are almost sufficient in the sense that, with for finitely many exceptions, any two balanced triangulations of a closed surface F^{2} can be transformed into each other by these two operations. We investigate such finitely many exceptions, called exceptional balanced triangulations, and obtain the list of exceptional balanced triangulations of closed surfaces with low genera. Furthermore, we discuss the subsets O of the six operations satisfying the property that any two balanced triangulations of the same closed surface can be connected through a sequence of operations from O.

元の言語 | English |
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ページ（範囲） | 1361-1373 |

ページ数 | 13 |

ジャーナル | Graphs and Combinatorics |

巻 | 35 |

発行部数 | 6 |

DOI | |

出版物ステータス | Published - 2019 11 1 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Discrete Mathematics and Combinatorics

## フィンガープリント Exceptional Balanced Triangulations on Surfaces' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Graphs and Combinatorics*,

*35*(6), 1361-1373. https://doi.org/10.1007/s00373-018-2001-x