## 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
β¦ LIBER β¦
Classification of reflexible regular embeddings and self-Petrie dual regular embeddings of complete bipartite graphs
β Scribed by Jin Ho Kwak; Young Soo Kwon
- Book ID
- 108113829
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 206 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
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## Abstract In this paper we examine selfβdual embeddings of complete multipartite graphs, focusing primarily on __K__~__m__(__n__)~ having __m__ parts each of size __n.__ If __m__ = 2, then __n__ must be even. If the embedding is on an orientable surface, then an Euler characteristic argument show