The extension of regular and rational embeddings
β Scribed by Zbigniew Jelonek
- Book ID
- 105205506
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 324 KB
- Volume
- 277
- Category
- Article
- ISSN
- 0025-5831
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## Abstract We investigate highly symmetrical embeddings of the __n__βdimensional cube __Q__~__n__~ into orientable compact surfaces which we call regular embeddings of __Q__~__n__~. We derive some general results and construct some new families of regular embeddings of __Q__~__n__~. In particular,
## Abstract In this paper, it will be shown that the isomorphism classes of regular orientable embeddings of the complete bipartite graph __K__~__n,n__~ are in oneβtoβone correspondence with the permutations on __n__ elements satisfying a given criterion, and the isomorphism classes of them are com