论文标题

惠特尼独特嵌入定理的简单而基本的证明

A simple and elementary proof of Whitney's unique embedding theorem

论文作者

Brinkmann, Gunnar

论文摘要

在本说明中,我们给出了惠特尼定理的更一般版本的简短和基本证明,即三个连接的平面图在飞机上具有独特的嵌入。定理的结果是,与简单双重的二级法无法嵌入更高的属中。本文的目的是促进简单而基本的证据,这特别适合介绍惠特尼定理的讲座。

In this note we give a short and elementary proof of a more general version of Whitney's theorem that 3-connected planar graphs have a unique embedding in the plane. A consequence of the theorem is that cubic plane graphs cannot be embedded in a higher genus with a simple dual. The aim of this paper is to promote a simple and elementary proof, which is especially well suited for lectures presenting Whitney's theorem.

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