Weak embedding theorem and a proof of cycle double cover of bridgeless graphs

TL;DR

This paper proves the cycle double cover conjecture for bridgeless graphs, providing a significant advancement in graph theory by confirming a long-standing hypothesis.

Contribution

It offers a proof of the cycle double cover conjecture specifically for bridgeless graphs, a major open problem in graph theory.

Findings

Confirmed the cycle double cover conjecture for bridgeless graphs

Provided a new proof technique for the conjecture

Focused on key sections for those interested in the proof

Abstract

In this article, we give a positive answer to the cycle double cover conjecture. Ones who are mainly interesting in the proof of the conjecture can only read Sections 2 and 4.