Abstract
AbstractWe investigate highly symmetrical embeddings of the n‐dimensional cube Qn into orientable compact surfaces which we call regular embeddings of Qn. We derive some general results and construct some new families of regular embeddings of Qn. In particular, for n = 1, 2,3(mod 4), we classify the regular embeddings of Qn which can be expressed as balanced Cayley maps. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 297–312, 2004
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