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Degree condition for subdivisions of unicyclic graphs - MaRDI portal

Degree condition for subdivisions of unicyclic graphs (Q1015434)

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scientific article; zbMATH DE number 5552211
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English
Degree condition for subdivisions of unicyclic graphs
scientific article; zbMATH DE number 5552211

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    Degree condition for subdivisions of unicyclic graphs (English)
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    8 May 2009
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    The authors prove the following results: Let \(H\) be any graph of order \(n\) with \(k\) vertex disjoint pieces \(H_1,\dots, H_k\), each of which contains at most one cycle. Let \(G\) be any graph of order at least \(n\) with \(\delta (G) \geq n -k \). Then \(G\) contains a cyclic subdivision of \(H\).
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    degree condition
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    subdivision
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    unicyclic graph
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