论文标题

tateno tateno的一个例子,欺骗,托马斯和蒂莫基的猜想

An example of Tateno disproving conjectures of Bonato-Tardif, Thomasse, and Tyomkyn

论文作者

Abdi, Davoud, Laflamme, Claude, Tateno, Atsushi, Woodrow, Robert

论文摘要

在他的2008年论文中,Tateno宣称对顽固的树木数量的数量进行了反示例。在本文中,我们重新审视了塔托诺(Tateno)未发表的想法,以提供严格的博览会,建造具有任意有限数量的等效类别的本地有限树;适应提供了类似结论的部分订单。同时,这些例子也反驳了托马斯和蒂莫基的猜想。

In his 2008 thesis, Tateno claimed a counterexample to the Bonato-Tardif conjecture regarding the number of equimorphy classes of trees. In this paper we revisit Tateno's unpublished ideas to provide a rigorous exposition, constructing locally finite trees having an arbitrary finite number of equimorphy classes; an adaptation provides partial orders with a similar conclusion. At the same time these examples also disprove conjectures by Thomasse and Tyomkyn.

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