✦ LIBER ✦
New regular embeddings of n-cubes Qn
✍ Scribed by Young Soo Kwon
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 147 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
We investigate highly symmetrical embeddings of the n‐dimensional 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, for n = 1, 2,3(mod 4), we classify the regular embeddings of Q~n~ which can be expressed as balanced Cayley maps. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 297–312, 2004