Quasi-hamiltonian paths in semicomplete multipartite digraphs
✍ Scribed by Bang-Jensen, Jørgen; Maddaloni, Alessandro; Simonsen, Sven
- Book ID
- 120229450
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 411 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
A digraph obtained by replacing each edge of a complete p-partite graph by an arc or a pair of mutually opposite arcs with the same end vertices is called a semicomplete p-partite digraph, or just a semicomplete multipartite digraph. A semicomplete multipartite digraph with no cycle of length two is
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.
The problem of finding necessary and sufficient conditions for a semicomplete multipartite digraph (SMD) to be Hamiltonian, seems to be both very interesting and difficult. Bang-Jensen, Gutin and Huang (Discrete Math to appear) proved a sufficient condition for a SMD to be Hamiltonian. A strengtheni