Determination of regular embeddings of graphs on surfaces (Q2725027)

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scientific article; zbMATH DE number 1618598
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English
Determination of regular embeddings of graphs on surfaces
scientific article; zbMATH DE number 1618598

    Statements

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    12 July 2001
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    double circuit covers
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    path double cover
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    Latin squares
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    embedding
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    surface
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    Determination of regular embeddings of graphs on surfaces (English)
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    The paper presents double circuit covers of the complete graph \(K_n\) by \(n-1\) circuits of length \(n\) obtained in two ways, one using a path double cover of \(K_{n-1}\) and the other using Latin squares. From this an embedding of \(K_n\) on a certain non-orientable surface is derived. Likewise graphs related to \(K_n\) (such as \(K_n-e\)) and the complete bipartite graph \(K_{m,n}\) are investigated.
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