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On a conjecture of R. H. Bruck

✍ Scribed by Marshall Hall Jr.; Robert Roth


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
473 KB
Volume
37
Category
Article
ISSN
0097-3165

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We prove that if \(\lambda\) is an infinite cardinal number and \(G\) is any graph of cardinality \(\kappa=\lambda^{+}\)which is a union of a finite number of forests, then there is a graph \(H_{k}\) of size \(\kappa\) (which does not depend upon \(G\) ) so that \(H_{k} \rightarrow(G)_{k}^{1}\). RΓΆd