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Exponential families of nonisomorphic nonorientable genus embeddings of complete graphs

✍ Scribed by Vladimir P. Korzhik; Heinz-Jürgen Voss


Book ID
108167364
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
582 KB
Volume
91
Category
Article
ISSN
0095-8956

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On the Number of Nonisomorphic Orientabl
✍ Vladimir P. Korzhik; Heinz-Jurgen Voss 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In this paper we consider those 2-cell orientable embeddings of a complete graph K n+1 which are generated by rotation schemes on an abelian group 8 of order n+1, where a rotation scheme an 8 is defined as a cyclic permutation ( ; 1 , ; 2 , ..., ; n ) of all nonzero elements of 8. It is shown that t