A bi-Cayley graph is a graph which admits a semiregular group of automorphisms with two orbits of equal size. In this paper, we give a characterization of cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular $p$-group, where $p>5$ is an odd prime. As an application, a classification of cubic non-Cayley vertex-transitive graphs of order $2p^3$ is given for each prime $p$.
@article{10_37236_3915,
author = {Jin-Xin Zhou and Yan-Quan Feng},
title = {Cubic {non-Cayley} vertex-transitive {bi-Cayley} graphs over a regular \(p\)-group},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {3},
doi = {10.37236/3915},
zbl = {1344.05072},
url = {http://geodesic.mathdoc.fr/articles/10.37236/3915/}
}
TY - JOUR
AU - Jin-Xin Zhou
AU - Yan-Quan Feng
TI - Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/3915/
DO - 10.37236/3915
ID - 10_37236_3915
ER -
%0 Journal Article
%A Jin-Xin Zhou
%A Yan-Quan Feng
%T Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/3915/
%R 10.37236/3915
%F 10_37236_3915
Jin-Xin Zhou; Yan-Quan Feng. Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group. The electronic journal of combinatorics, Tome 23 (2016) no. 3. doi: 10.37236/3915
