We give some sufficient conditions for locally semicomplete digraphs to contain a hamiltonian path from a prescribed vertex to another prescribed vertex. As an immediate consequence of these, we obtain that every 4-connected locally semicomplete digraph is strongly hamiltonian-connected. Our results
Strongly quasi-Hamiltonian-connected semicomplete multipartite digraphs
β Scribed by Lu, Mei; Guo, Yubao; Surmacs, Michel
- Book ID
- 121260808
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 381 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We characterize weakly hamiltonian-connected locally semicomplete digraphs.
A multipartite tournament is an orientation of a complete k-partite graph for some k >~ 2. A factor of a digraph D is a collection of vertex disjoint cycles covering all the vertices of D. We show that there is no degree of strong connectivity which together with the existence of a factor will guara
We describe a polynomial algorithm for the Hamiltonian cycle problem for semicomplete multipartite digraphs. The existence of such an algorithm was conjectured in G.