Hamilton paths in vertex-transitive graphs of order
✍ Scribed by Klavdija Kutnar; Dragan Marušič; Cui Zhang
- Book ID
- 113582460
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 659 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A graph is vertex-transitive or symmetric if its automorphism group acts transitively on vertices or ordered adjacent pairs of vertices of the graph, respectively. Let G be a finite group and S a subset of G such that 1 / ∈ S and S = {s -1 | s ∈ S}. The Cayley graph Cay(G, S) on G with respect to S
A graph is __vertex‐transitive__ if its automorphism group acts transitively on vertices of the graph. A vertex‐transitive graph is a __Cayley graph__ if its automorphism group contains a subgroup acting regularly on its vertices. In this article, the tetravalent vertex‐transitive non‐Cayley graphs
Faber and Moore have proposed a class of vertex-transitive digraphs as a model of directed inconnection networks. These networks have attractive degree versus diameter properties. We show that these digraphs are Hamiltonian and provide necessary and sufficient conditions for the existence of a Hamil
In 1983, D. Maru~ifi initiated the determination of the set NC of non-Cayley numbers. A number n belongs to NC if there exists a vertex-transitive, non-Cayley graph of order n. The status of all non-square-free numbers and the case when n is the product of two primes was settled recently by B.D. McK