### Abstract

We show that if r ⩾ 1 is an odd integer and G is a graph with |V(G)| even such that k(G) ⩾ (r + 1)^{2}/2 and (r + 1)^{2}α(G) ⩽ 4rk(G), then G has an r‐factor; if r ⩾ 2 is even and G is a graph with k(G) ⩾ r(r + 2)/2 and (r + 2)α(G) ⩽ 4k(G), then G has an r‐factor (where k(G) and α(G) denote the connectivity and the independence number of G, respectively).

Original language | English |
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Pages (from-to) | 63-69 |

Number of pages | 7 |

Journal | Journal of Graph Theory |

Volume | 13 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1989 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Geometry and Topology