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Every graph of minimum degree at least 5 contains a cycle whose length is divisible by 5.

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Statement

Every graph of minimum degree at least 5 contains a cycle whose length is divisible by 5. Open residue: Only k=5 remains.

Assessment

Renown 1/5

Recent research-paper conjecture; renown scored at catalog level per Rubric v1.

Attackability 4/5

The original all-k conjecture is now settled for every k except 5, leaving one crisp graph-search target.

finite witness
4/5
oracle cost
3/5
freshness
5/5
seedability
5/5

Verification note

Enumerate or SAT-generate minimum-degree-5 graphs and test cycle lengths; a counterexample is an explicit graph. — Current arXiv revision checked; source-stated open/partial. Independent literature and author confirmation still required. Editorially screened candidate; not independently certified open. Author confirmation pending.

Claims

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

No active claims.

I resolved this

I’m attacking this

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