This paper determines all arc-transitive pentavalent graphs of order $4pq$, where $p,q\ge 5$ are distinct primes. The cases $q=1,2,3$ and $q=p$ is a prime have been treated previously by Hua et al. [Pentavalent symmetric graphs of order $2pq$, Discrete Math. 311 (2011), 2259-2267], Hua and Feng [Pentavalent symmetric graphs of order $8p$, J. Beijing Jiaotong University 35 (2011), 132-135], Guo et al. [Pentavalent symmetric graphs of order $12p$, Electronic J. Combin. 18 (2011), #P233] and Huang et al. [Pentavalent symmetric graphs of order four time a prime power, submitted for publication], respectively.
@article{10_37236_2373,
author = {Jiangmin Pan and Bengong Lou and Cuifeng Liu},
title = {Arc-transitive pentavalent graphs of order 4\(pq\)},
journal = {The electronic journal of combinatorics},
year = {2013},
volume = {20},
number = {1},
doi = {10.37236/2373},
zbl = {1266.05061},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2373/}
}
TY - JOUR
AU - Jiangmin Pan
AU - Bengong Lou
AU - Cuifeng Liu
TI - Arc-transitive pentavalent graphs of order 4\(pq\)
JO - The electronic journal of combinatorics
PY - 2013
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/2373/
DO - 10.37236/2373
ID - 10_37236_2373
ER -
%0 Journal Article
%A Jiangmin Pan
%A Bengong Lou
%A Cuifeng Liu
%T Arc-transitive pentavalent graphs of order 4\(pq\)
%J The electronic journal of combinatorics
%D 2013
%V 20
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/2373/
%R 10.37236/2373
%F 10_37236_2373
Jiangmin Pan; Bengong Lou; Cuifeng Liu. Arc-transitive pentavalent graphs of order 4\(pq\). The electronic journal of combinatorics, Tome 20 (2013) no. 1. doi: 10.37236/2373
