Geodesic
Classification of some reflexible edge-transitive embeddings of complete bipartite graphs
Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 563-583.

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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.
DOI : 10.26493/1855-3974.793.2a9
Keywords: Complete bipartite graphs, reflexible edge-transitive embedding 
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Jin Ho Kwak; Young Soo Kwon. Classification of some reflexible edge-transitive embeddings of complete bipartite graphs. Ars Mathematica Contemporanea, Tome 16 (2019) no. 2, pp. 563-583. doi : 10.26493/1855-3974.793.2a9. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.793.2a9/

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