Colussi, Livio, Conforti, Michele and Zambelli, Giacomo
(2005)
*Disjoint paths in arborescences.*
Discrete Mathematics, 292 (1-3).
pp. 187-191.
ISSN 0012-365X

## Abstract

An arborescence in a digraph is a tree directed away from its root. A classical theorem of Edmonds characterizes which digraphs have λ arc-disjoint arborescences rooted at r. A similar theorem of Menger guarantees that λ strongly arc disjoint rv-paths exist for every vertex v, where “strongly” means that no two paths contain a pair of symmetric arcs. We prove that if a directed graph D contains two arc-disjoint spanning arborescences rooted at r, then D contains two such arborences with the property that for every node v the paths from r to v in the two arborences satisfy Menger's theorem.

Item Type: | Article |
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Official URL: | http://www.elsevier.com/wps/find/journaldescriptio... |

Additional Information: | © 2005 Elsevier |

Divisions: | Management |

Subjects: | Q Science > QA Mathematics |

Sets: | Departments > Management |

Date Deposited: | 26 Jan 2011 14:10 |

Last Modified: | 20 Jan 2020 03:16 |

URI: | http://eprints.lse.ac.uk/id/eprint/31725 |

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