### 抜粋

We discuss the problems to list, sample, and count the chordal graphs with edge constraints. The objects we look at are chordal graphs sandwiched by a given pair of graphs where we assume at least one of the input pair is chordal. The setting is a natural generalization of chordal completions and deletions. For the listing problem, we give an efficient algorithm running in polynomial time per output with polynomial space. As for the sampling problem, we give two clues that seem to imply that a random sampling is not easy. The first clue is that we show #P-completeness results for counting problems. The second clue is that we give an instance for which a natural Markov chain suffers from an exponential mixing time. These results provide a unified viewpoint from algorithms theory to problems arising from various areas such as statistics, data mining, and numerical computation.

元の言語 | 英語 |
---|---|

ホスト出版物のタイトル | Computing and Combinatorics - 14th Annual International Conference, COCOON 2008, Proceedings |

ページ | 458-467 |

ページ数 | 10 |

DOI | |

出版物ステータス | 出版済み - 8 4 2008 |

外部発表 | Yes |

イベント | 14th Annual International Conference on Computing and Combinatorics, COCOON 2008 - Dalian, 中国 継続期間: 6 27 2008 → 6 29 2008 |

### 出版物シリーズ

名前 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
---|---|

巻 | 5092 LNCS |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 14th Annual International Conference on Computing and Combinatorics, COCOON 2008 |
---|---|

国 | 中国 |

市 | Dalian |

期間 | 6/27/08 → 6/29/08 |

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

## フィンガープリント On listing, sampling, and counting the chordal graphs with edge constraints' 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

*Computing and Combinatorics - 14th Annual International Conference, COCOON 2008, Proceedings*(pp. 458-467). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 5092 LNCS). https://doi.org/10.1007/978-3-540-69733-6_45