Corrigendum: Edge-Disjoint Paths in Expander Graphs
β Scribed by Frieze, Alan
- Book ID
- 118180425
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2001
- Tongue
- English
- Weight
- 52 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0097-5397
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π SIMILAR VOLUMES
A theorem of J. Edmonds states that a directed graph has k edge-disjoint branchings rooted at a vertex r if and only if every vertex has k edge-disjoint paths to r . We conjecture an extension of this theorem to vertex-disjoint paths and give a constructive proof of the conjecture in the case k = 2.
## Abstract We consider finite undirected loopless graphs __G__ in which multiple edges are possible. For integers k,l β₯ 0 let g(k, l) be the minimal __n__ β₯ 0 with the following property: If __G__ is an __n__βedgeβconnected graph, __s__~1~, β,__s__~k~, __t__~1~, β,__t__~k~ are vertices of __G__, a