Cycle double cover conjecture

Every finite loopless bridgeless undirected multigraph has a multiset of cycles covering each edge exactly twice.

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Understand the problem ↓

Understanding the problem

Read the background

Every finite loopless bridgeless undirected multigraph has a multiset of cycles covering each edge exactly twice.

Why it matters

A general cycle double cover was a longstanding central graph-theory conjecture.

What counts as progress

Can every finite bridgeless loopless multigraph be covered by cycles so each edge occurs exactly twice?

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