论文标题

可数的塞施图的兄弟姐妹

Siblings of countable cographs

论文作者

Hahn, Gena, Pouzet, Maurice, Woodrow, Robert

论文摘要

我们表明,每个可数的Cograph都有一个或无限的兄弟姐妹。这很部分地回答了Thomassé的猜想。主要工具是准订购良好的概念以及Cographs和一些标记的有序树之间的对应关系。

We show that every countable cograph has either one or infinitely many siblings. This answers, very partially, a conjecture of Thomassé. The main tools are the notion of well quasi ordering and the correspondence between cographs and some labelled ordered trees.

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