We show that if the independence number of a k-connected digraph D is at most k, then D has a spanning subgraph which consists of a union of vertex-disjoint directed circuits. As a corollary we determine the minimum number of edges required in a k-connected oriented graph to ensure the existence of
A Chvátal-Erdös condition for hamilton cycles in digraphs
✍ Scribed by Bill Jackson
- Book ID
- 103506960
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 336 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let D b a k-connected digraph with independence number (Y. We show that for any integers t and p such that k 3 $ti (t + 1) i-p, then any set of arcs of cardinal@ p inducing a subgraph with maximum in-and outdegree at most t is contained in a spanning subgraph which is regular of in-and out-degree t,
We give a survey of results and conjectures concerning sufficient conditions in terms of connectivity and independence number for which a graph or digraph has various path or cyclic properties, for example hamilton path/cycle, hamilton connected, pancyclic, path/cycle covers, 2-cyclic.