Name
Abstract | ||
|---|---|---|
A graph is a bi-Cayley graph over a group if the group acts semiregularly on the vertex set of the graph with two orbits. Let G be a non-abelian metacyclic p-group for an odd prime p. In this paper, we prove that if G is a Sylow p-subgroup in the full automorphism group Aut(Gamma) of a graph Gamma, then G is normal in Aut(Gamma). As an application, we classify the half-arc-transitive bipartite bi-Cayley graphs over G of valency less than 2p, while the case for valency 4 was given by Zhang and Zhou in 2019. It is further shown that there are no semisymmetric or arc-transitive bipartite bi-Cayley graphs over G of valency less than p. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.26493/1855-3974.1801.eb1 | ARS MATHEMATICA CONTEMPORANEA |
Keywords | DocType | Volume |
Bi-Cayley graph,half-arc-transitive graph,metacyclic group | Journal | 17 |
Issue | ISSN | Citations |
2 | 1855-3966 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yan-quan Feng | 1 | 350 | 41.80 |
| Yi Wang | 2 | 1 | 1.03 |