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On the Number of Genus Embeddings of Complete Bipartite Graphs

✍ Scribed by Zeling Shao, Yanpei Liu, Zhiguo Li

Book ID
120788769
Publisher
Springer Japan
Year
2012
Tongue
English
Weight
199 KB
Volume
29
Category
Article
ISSN
0911-0119

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## Abstract We prove that for every prime number __p__ and odd __m__>1, as __s__β†’βˆž, there are at least __w__ face 2‐colorable triangular embeddings of __K__~__w, w, w__~, where __w__ = __m__Β·__p__^__s__^. For both orientable and nonorientable embeddings, this result implies that for infinitely many