Another proof of Seymour's 6‐flow theorem

Author:

DeVos Matt1,McDonald Jessica2,Nurse Kathryn3ORCID

Affiliation:

1. Department of Mathematics Simon Fraser University Burnaby Canada

2. Department of Mathematics and Statistics Auburn University Auburn Alabama USA

3. School of Computing Science Simon Fraser University Burnaby Canada

Abstract

AbstractIn 1981 Seymour proved his famous 6‐flow theorem asserting that every 2‐edge‐connected graph has a nowhere‐zero flow in the group (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 ‐valued functions are found subject to certain boundary constraints.

Publisher

Wiley

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