Cantankerous maps and rotary embeddings of Kn
Journal of Combinatorial Theory Series B
Regular maps and hypermaps of Euler characteristic -1 to -200
Journal of Combinatorial Theory Series B
Classification of nonorientable regular embeddings of complete bipartite graphs
Journal of Combinatorial Theory Series B
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By a regular embedding of a graph K in a surface we mean a 2-cell embedding of K in a compact connected surface such that the automorphism group acts regularly on flags. In this paper, we classify the nonorientable regular embeddings of the Hamming graph H(d,n). We show that there exists such an embedding if and only if n=2 and d=2, or n=3 or 4 and d=1, or n=6 and d=1 or 2. We also give constructions and descriptions of these embeddings.