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Disjoint paths in arborescences

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

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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
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Management
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 26 Jan 2011 14:10
URL: http://eprints.lse.ac.uk/31725/

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