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Uniqueness and minimality of large face-width embeddings of graphs - MaRDI portal

Uniqueness and minimality of large face-width embeddings of graphs (Q1906851)

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scientific article; zbMATH DE number 837833
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Uniqueness and minimality of large face-width embeddings of graphs
scientific article; zbMATH DE number 837833

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    Uniqueness and minimality of large face-width embeddings of graphs (English)
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    30 May 1996
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    This paper shows that if the face-width of the embedding of a graph \(G\) on a surface of genus \(g\) is at least \(c\log(g)/\log\log(g)\), then such an embedding is unique up to Whitney equivalence; see \textit{H. Whitney} [Am. Math. J. 55, 345-354 (1933; Zbl 0006.37005)].
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    face-width
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    embedding
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    surface
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    genus
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    Whitney equivalence
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