In this paper, we classify some reflexible edge-transitive orientable embeddings of complete bipartite graphs. As a by-product, we classify groups Γ such that (i) Γ = XY for some cyclic groups X = ⟨x⟩ and Y = ⟨y⟩ with X ∩ Y = {1Γ} and (ii) there exists an automorphism of Γ which sends x and y to x−1 and y−1, respectively.
@article{793,
title = {Classification of some reflexible edge-transitive embeddings of complete bipartite graphs},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {16},
year = {2019},
doi = {10.26493/1855-3974.793.2a9},
language = {EN},
url = {http://dml.mathdoc.fr/item/793}
}
Kwak, Jin Ho; Kwon, Young Soo. Classification of some reflexible edge-transitive embeddings of complete bipartite graphs. ARS MATHEMATICA CONTEMPORANEA, Tome 16 (2019) . doi : 10.26493/1855-3974.793.2a9. http://gdmltest.u-ga.fr/item/793/