论文标题

无限型表面的翻转图

Flip graphs for infinite type surfaces

论文作者

Fossas, Ariadna, Parlier, Hugo

论文摘要

我们与无限型表面的三角剖分相关联,一种允许同时翻转的翻转图。我们的主要重点是确切地理解何时通过一系列翻转可以将两个三角剖分与之相关。结果的结果是,无限型表面的翻转图具有许多连接的组件。

We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results is that flip graphs for infinite type surfaces have uncountably many connected components.

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