科研之友
微信
新浪微博
Facebook
分享链接
摘要
A classification is given for a family of edge-transitive metacirculants of Frobenius groups Z(n) : Z(m) of odd order and small valency. In particular, it is shown that, for such a graph Gamma, either Aut Gamma is soluble and Gamma is half-transitive, or Aut Gamma = PSL(2, p) or PGL(2, p), and Gamma is a known graph of order pq with p and q = p-1/2 both primes. This leads to new construction of half-transitive graphs.
