科研之友
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摘要
We show that a complete bipartite graph , where p is an odd prime, has an edge-transitive embedding in an orientable surface with all faces bounded by simple cycles if and only if e = f. There are exactly such embeddings up to isomorphism. Among them, are orientably regular, one of which is reflexible and form chiral pairs. The remaining embeddings are non-regular (not arc-transitive). All of these embeddings have genus.
