论文标题

不可避免的无限2连接图的亚图

Unavoidable Induced Subgraph of Infinite 2-connected Graphs

论文作者

Allred, Sarah, Ding, Guoli, Oporowski, Bogdan

论文摘要

1930年,拉姆齐(Ramsey)证明,每个无限图都包含一个无限集团或无限独立集作为诱导的子图。科尼格证明,每个无限图都包含无限程度的射线或顶点。在本文中,我们建立了这些结果的2个连接类似物。

In 1930, Ramsey proved that every infinite graph contains either an infinite clique or an infinite independent set as an induced subgraph. König proved that every infinite graph contains either a ray or a vertex of infinite degree. In this paper, we establish the 2-connected analog of these results.

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