Arc-disjoint in-trees in directed graphs
โ Scribed by Naoyuki Kamiyama; Naoki Katoh; Atsushi Takizawa
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 752 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0209-9683
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๐ SIMILAR VOLUMES
We prove that any k-regular directed graph with no parallel edges contains a collection of at least fl(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least ( lCi1 ) disjoint cycles, and note that this holds for k 5 3. o 1996
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.
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