Gallai colorings and domination in multipartite digraphs
✍ Scribed by András Gyárfás; Gábor Simonyi; Ágnes Tóth
- Book ID
- 112121095
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 217 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
📜 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
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