Embedding cycles of given length in oriented graphs
✍ Scribed by Daniela Kühn; Deryk Osthus; Diana Piguet
- Book ID
- 119233275
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 246 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a non-trivial connected &,-free graph. If any vertex cut of G contains a veitex v such that G@!(u)) is connected, we prove that G is pancyclic. If G(Z+I(u)) is conaected for any vertex u of G, we prove that G is vertex pancyclic and obtain a polynomial time algorithm for constructing cycles
We embed cycles into IEH graphs. First, IEH graphs are proved to be Hamiltonian except when they are of size 2" -1 for all n > 2. Next, we show that for an IEH graph of size N, an arbitrary cycle of even length N, where 3 < Ne < N is found. We also find an arbitrary cycle of odd length NO where 2 <