Structure of vertex-transitive graphs
✍ Scribed by Alwin C Green
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 731 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a group acting symmetrically on a graph 2, let G, be a subgroup of G minimal among those that act symmetrically on 8, and let G2 be a subgroup of G, maximal among those normal subgroups of GI which contain no member except 1 which fixes a vertex of Z. The most precise result of this paper i
## Abstract We prove that every connected vertex‐transitive graph on __n__ ≥ 4 vertices has a cycle longer than (3__n__)^1/2^. The correct order of magnitude of the longest cycle seems to be a very hard question.
The maximum genus of all vertex-transitive graphs is computed. It is proved that a k-valent vertex-transitive graph of girth g is upper-embeddable whenever k 3 4 or g 2 4. Non-upper-embeddable vertex-transitive graphs are characterized. A particular attention is paid to Cayley graphs. Groups for wh
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