### Abstract

Manaster and Rosenstein [1972] constructed a recursively bipartite highly recursive graph that satisfies Hall's condition for a bipartite graph to have a matching, but has no recursive matching. We discuss a natural extension of Hall's condition which assures that every such graph has a recursive matching.

Original language | English (US) |
---|---|

Pages (from-to) | 124-128 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 88 |

Issue number | 1 |

DOIs | |

State | Published - 1983 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**An effective version of hall's theorem.** / Kierstead, Henry.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 88, no. 1, pp. 124-128. https://doi.org/10.1090/S0002-9939-1983-0691291-0

}

TY - JOUR

T1 - An effective version of hall's theorem

AU - Kierstead, Henry

PY - 1983

Y1 - 1983

N2 - Manaster and Rosenstein [1972] constructed a recursively bipartite highly recursive graph that satisfies Hall's condition for a bipartite graph to have a matching, but has no recursive matching. We discuss a natural extension of Hall's condition which assures that every such graph has a recursive matching.

AB - Manaster and Rosenstein [1972] constructed a recursively bipartite highly recursive graph that satisfies Hall's condition for a bipartite graph to have a matching, but has no recursive matching. We discuss a natural extension of Hall's condition which assures that every such graph has a recursive matching.

UR - http://www.scopus.com/inward/record.url?scp=84966240942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966240942&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1983-0691291-0

DO - 10.1090/S0002-9939-1983-0691291-0

M3 - Article

AN - SCOPUS:84966240942

VL - 88

SP - 124

EP - 128

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -