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Graphs with certain families of spanning trees - MaRDI portal

Graphs with certain families of spanning trees (Q1154485)

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scientific article; zbMATH DE number 3728318
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English
Graphs with certain families of spanning trees
scientific article; zbMATH DE number 3728318

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    Graphs with certain families of spanning trees (English)
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    1982
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    In this paper, sufficient conditions are given in terms of \(\delta(G)\) and \(\Delta(T)\), for a graph \(G\) with \(n\) vertices to contain a tree \(T\) with \(n\) vertices. One of these sufficient conditions is used to calculate some of the Ramsey numbers for the pair tree-star. Also necessary conditions are given, in terms of \(\delta(G)\), for a graph \(G\) with \(n\) vertices to contain all trees with \(n\) vertices.
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    Ramsey numbers
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