A graph admitting an automorphism with two orbits of the same length is called a bicirculant. Recently, Jajcay et al. initiated the investigation of the edge-transitive bicirculants with the properties that one of the subgraphs induced by the latter orbits is a cycle and the valence is at least $6$ (Electron. J. Combin., 2019). We show that the complement of the Petersen graph is the only such graph whose order is twice an odd number.
@article{10_37236_10836,
author = {Istv\'an Kov\'acs and J\'anos Ruff},
title = {On certain edge-transitive bicirculants of twice odd order},
journal = {The electronic journal of combinatorics},
year = {2022},
volume = {29},
number = {3},
doi = {10.37236/10836},
zbl = {1496.05074},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10836/}
}
TY - JOUR
AU - István Kovács
AU - János Ruff
TI - On certain edge-transitive bicirculants of twice odd order
JO - The electronic journal of combinatorics
PY - 2022
VL - 29
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/10836/
DO - 10.37236/10836
ID - 10_37236_10836
ER -
%0 Journal Article
%A István Kovács
%A János Ruff
%T On certain edge-transitive bicirculants of twice odd order
%J The electronic journal of combinatorics
%D 2022
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/10836/
%R 10.37236/10836
%F 10_37236_10836
István Kovács; János Ruff. On certain edge-transitive bicirculants of twice odd order. The electronic journal of combinatorics, Tome 29 (2022) no. 3. doi: 10.37236/10836
