TY - JOUR
T1 - A family of edge-transitive Frobenius metacirculants of small valency
AU - Song, S.
AU - Li, Cai-Heng
AU - Wang, D.
PY - 2013
Y1 - 2013
N2 - 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 Γ, either AutΓ is soluble and Γ is half-transitive, or AutΓ = PSL (2, p) or PGL (2, p) , and Γ is a known graph of order p q with p and q = p-1/2 both primes. This leads to new construction of half-transitive graphs. © 2012 Elsevier Ltd.
AB - 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 Γ, either AutΓ is soluble and Γ is half-transitive, or AutΓ = PSL (2, p) or PGL (2, p) , and Γ is a known graph of order p q with p and q = p-1/2 both primes. This leads to new construction of half-transitive graphs. © 2012 Elsevier Ltd.
U2 - 10.1016/j.ejc.2012.10.004
DO - 10.1016/j.ejc.2012.10.004
M3 - Article
SN - 0195-6698
VL - 34
SP - 512
EP - 521
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
IS - 2
ER -