Let Γ denote a finite digraph and let G be a subgroup of its automorphism group. A directed cycle C of Γ is called G-consistent whenever there is an element of G whose restriction to C is the 1-step rotation of C. In this short note we prove a conjecture on G-consistent directed cycles stated by Steve Wilson.
@article{294,
title = {A note on a conjecture on consistent cycles},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {6},
year = {2013},
doi = {10.26493/1855-3974.294.174},
language = {EN},
url = {http://dml.mathdoc.fr/item/294}
}
Miklavič, Štefko. A note on a conjecture on consistent cycles. ARS MATHEMATICA CONTEMPORANEA, Tome 6 (2013) . doi : 10.26493/1855-3974.294.174. http://gdmltest.u-ga.fr/item/294/