## 抄録

Bollobás and Thomason showed that a multigraph of order n and size at least n + c (c ≥ 1) contains a cycle of length at most 2(⌊n/c⌋ + 1) ⌊log2 2c⌋. We show in this paper that a multigraph (with no loop) of order n and minimum degree at least 5 contains a chorded cycle (a cycle with a chord) of length at most 300 log2 n. As an application of this result, we show that a graph of sufficiently large order with minimum degree at least 3k+8 contains k vertex-disjoint chorded cycles of the same length, which is analogous to Verstraëte's result: A graph of sufficiently large order with minimum degree at least 2k contains k vertex-disjoint cycles of the same length.

本文言語 | English |
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ページ（範囲） | 1030-1041 |

ページ数 | 12 |

ジャーナル | SIAM Journal on Discrete Mathematics |

巻 | 29 |

号 | 2 |

DOI | |

出版ステータス | Published - 2015 |

## ASJC Scopus subject areas

- Mathematics(all)