In this paper, we will determine the full automorphism groups of rose window graphs that are not edge-transitive. As the full automorphism groups of edge-transitive rose window graphs have been determined, this will complete the problem of calculating the full automorphism group of rose window graphs. As a corollary, we determine which rose window graphs are vertex-transitive. Finally, we determine the isomorphism classes of non-edge-transitive rose window graphs.
@article{362, title = {The automorphism groups of non-edge-transitive rose window graphs}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {9}, year = {2014}, doi = {10.26493/1855-3974.362.504}, language = {EN}, url = {http://dml.mathdoc.fr/item/362} }
Dobson, Ted; Kovács, István; Miklavič, Štefko. The automorphism groups of non-edge-transitive rose window graphs. ARS MATHEMATICA CONTEMPORANEA, Tome 9 (2014) . doi : 10.26493/1855-3974.362.504. http://gdmltest.u-ga.fr/item/362/