A canonical partition theorem for trees

Vojkan Vuksanovic


In this paper we prove a

canonical partition theorem for weakly embedded subtrees of a given

regular tree. It was broght to my attention that there is a paper of

Milliken "Canonical partition theorem for strongly embedded subtrees of

regular trees" circulated in the 1980's. This paper is still unpublished

and the results in my paper are discovered independently. Although it is

possible to conclude the result about weakly embedded subtrees from

Milliken's paper, we give a direct proof which works for both, weakly and

strongly embedded subtrees.

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Contributions to Discrete Mathematics. ISSN: 1715-0868