Cycle contraction in oriented graphs
β Scribed by P. V. Nalivaiko
- Book ID
- 111494972
- Publisher
- Allerton Press Inc
- Year
- 2010
- Tongue
- English
- Weight
- 910 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0027-1322
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We obtain several sufficient conditions on the degrees of an oriented graph for the existence of long paths and cycles. As corollaries of our results we deduce that a regular tournament contains an edgeβdisjoint Hamilton cycle and path, and that a regular bipartite tournament is hamilto
An edge of a 3-connected graph is contractible if its contraction results in a graph which is still 3-connected. All 3-connected graphs with seven or more vertices are known to have at least three contractible edges on any longest cycle. Recently, it has been conjectured that any non-Hamiltonian 3-c