Embedding trees into graphs of large girth (Q1567289)

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scientific article; zbMATH DE number 1455616
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English
Embedding trees into graphs of large girth
scientific article; zbMATH DE number 1455616

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    Embedding trees into graphs of large girth (English)
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    30 March 2001
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    It is shown that for all except a finite number of pairs \((t,k)\) the following conjecture of Dobson holds: A tree \(T\) with \(k\) vertices can always be embedded into a graph of minimum degree \(\max\{\Delta(T), \lceil (k-1)/t \rceil \}\) and girth at least \(2t+1.\)
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    tree embeddings
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    graph girth
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