Disjoint directed and undirected paths and cycles in digraphs
✍ Scribed by Jørgen Bang-Jensen; Matthias Kriesell
- Book ID
- 108281584
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 690 KB
- Volume
- 410
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The purpose of this communication is to announce some slrfficient conditions on degrees and number of arcs to insure the existence of cycles and paths in directed graphs. We show that these results are the best possible. The proofs of the theorems can be found in [4].
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.
We consider digraphs --called extended locally semicomplete digraphs, or extended LSD's, for short --that can be obtained from locally semicomplete digraphs by substituting independent sets for vertices. We characterize Hamiltonian extended LSD's as well as extended LSD's containing Hamiltonian path
The main goal of this work was to describe the basic elements constituting a specialized knowledge base in the field of paths and circuits in digraphs. This knowledge base contains commented on examples with textual and graphical descriptions, invariants, relations among invariants, and theorems. It