Regular embeddings of complete bipartite graphs: classification and enumeration
نویسنده
چکیده
The regular embeddings of complete bipartite graphs Kn,n in orientable surfaces are classified 5 and enumerated, and their automorphism groups and combinatorial properties are determined. The method depends on earlier classifications in the cases where n is a prime power, obtained in collaboration with Du, Kwak, Nedela and Škoviera, together with results of Itô, Hall, Huppert and Wielandt on factorisable groups and on finite solvable groups.
منابع مشابه
Bipartite graph embeddings, Riemann surfaces and Galois groups
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تاریخ انتشار 2010