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- W2422012355 abstract "The complete graph Kn on n vertices can be quadrangularly embedded on an orientable (resp. nonorientable) closed surface F2 with Euler characteristic e(F2)=n(5−n)/4 if and only if n≡0,5(mod8) (resp. n≡0,1(mod4) and n≠5). In this article, we shall show that if Kn quadrangulates a closed surface F2, then Kn has a quadrangular embedding on F2 so that the length of each closed walk in the embedding has the parity specified by any given homomorphism ρ:π1(F2)→Z2, called the cycle parity." @default.
- W2422012355 created "2016-06-24" @default.
- W2422012355 creator A5006108186 @default.
- W2422012355 date "2016-06-12" @default.
- W2422012355 modified "2023-09-27" @default.
- W2422012355 title "Even Embeddings of the Complete Graphs and Their Cycle Parities" @default.
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- W2422012355 doi "https://doi.org/10.1002/jgt.22055" @default.
- W2422012355 hasPublicationYear "2016" @default.
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