Quite a lot of attention has been paid recently to the characterization and construction of edge- or arc-transitive abelian (mostly cyclic or elementary abelian) covers of symmetric graphs, but there are rare results for nonabelian covers since the voltage graph techniques are generally not easy to be used in this case. In this paper, we will classify certain metacyclic arc-transitive covers of all non-complete symmetric graphs with prime valency and twice a prime order $2p$ (involving the complete bipartite graph ${\sf K}_{p,p}$, the Petersen graph, the Heawood graph, the Hadamard design on $22$ points and an infinite family of prime-valent arc-regular graphs of dihedral groups). A few previous results are extended.
@article{10_37236_7146,
author = {Zhaohong Huang and Jiangmin Pan},
title = {On arc-transitive metacyclic covers of graphs with order twice a prime},
journal = {The electronic journal of combinatorics},
year = {2018},
volume = {25},
number = {3},
doi = {10.37236/7146},
zbl = {1498.20005},
url = {http://geodesic.mathdoc.fr/articles/10.37236/7146/}
}
TY - JOUR
AU - Zhaohong Huang
AU - Jiangmin Pan
TI - On arc-transitive metacyclic covers of graphs with order twice a prime
JO - The electronic journal of combinatorics
PY - 2018
VL - 25
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/7146/
DO - 10.37236/7146
ID - 10_37236_7146
ER -
%0 Journal Article
%A Zhaohong Huang
%A Jiangmin Pan
%T On arc-transitive metacyclic covers of graphs with order twice a prime
%J The electronic journal of combinatorics
%D 2018
%V 25
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/7146/
%R 10.37236/7146
%F 10_37236_7146
Zhaohong Huang; Jiangmin Pan. On arc-transitive metacyclic covers of graphs with order twice a prime. The electronic journal of combinatorics, Tome 25 (2018) no. 3. doi: 10.37236/7146
