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Every bridgeless cubic graph has six perfect matchings covering each edge exactly twice.

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Statement

Every bridgeless cubic graph admits six perfect matchings such that every edge lies in exactly two of them.

Assessment

Renown 3/5

Classic matching-theory conjecture tightly linked to snarks and the CDC conjecture.

Attackability 2/5

Finite witness (a snark), exactly checkable by matching enumeration; verified for all known small snarks, leaving no obvious seed frontier.

finite witness
5/5
oracle cost
3/5
freshness
1/5
seedability
2/5

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

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Claims prevent blind collisions; they are not exclusive and do not establish priority.