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- W2127175099 abstract "In this paper we examine self-dual embeddings of complete multipartite graphs, focusing primarily on Km(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 shows that no such embedding exists when n is odd and m 2, 3 (mod 4); there is no such restriction for embeddings on nonorientable surfaces. We show that these embeddings exist with a few small exceptions. As a corollary, every group has a Cayley graph with a self-dual embedding. Our main technique is an addition construction that combines self-dual embeddings of two subgraphs into a self-dual embedding of their union. We also apply this technique to nonregular multipartite graphs and to cubes." @default.
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- W2127175099 date "1994-11-01" @default.
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- W2127175099 title "Self-dual embeddings of complete multipartite graphs" @default.
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- W2127175099 doi "https://doi.org/10.1002/jgt.3190180709" @default.
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