Another proof of Seymour's 6-flow theorem

Pub Date : 2024-04-25 DOI:10.1002/jgt.23091

Matt DeVos, Jessica McDonald, Kathryn Nurse

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Abstract

In 1981 Seymour proved his famous 6-flow theorem asserting that every 2-edge-connected graph has a nowhere-zero flow in the group $Z_{2} \times Z_{3}$ (in fact, he offers two proofs of this result). In this note, we give a new short proof of a generalization of this theorem where $Z_{2} \times Z_{3}$ -valued functions are found subject to certain boundary constraints.

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西摩 6 流定理的另一个证明

1981 年，西摩证明了他著名的 6 流定理，断言每个 2 边连接的图在群中都有一个无处为零的流（事实上，他对这一结果提供了两个证明）。在本注释中，我们给出了这一定理广义化的一个新的简短证明，在此定理中，-值函数是在某些边界约束条件下找到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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