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Degree sets of degree uniform graphs - MaRDI portal

Degree sets of degree uniform graphs (Q1068111)

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scientific article; zbMATH DE number 3929062
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English
Degree sets of degree uniform graphs
scientific article; zbMATH DE number 3929062

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    Degree sets of degree uniform graphs (English)
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    1985
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    A graph G is n-degree uniform if for every nonnegative integer r, there are either no vertices of degree r or n vertices of degree r. For any integer \(n\geq 2\), a necessary and sufficient condition for a (finite, nonempty) set of positive integers to be the degree set of an n-degree uniform graph is given.
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    degree set
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    degree uniform graph
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