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 |
|---|---|
| Official URL: | http://www.elsevier.com/wps/find/journaldescriptio... |
| Additional Information: | © 2005 Elsevier |
| Uncontrolled Keywords: | disjoint spanning arborescences |
| Library of Congress subject classification: | Q Science > QA Mathematics |
| Sets: | Departments > Management |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/31725/ |
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