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For connected subcubic graphs other than K4, the zero forcing number is at most the independence number plus one.

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

Statement

For every connected graph $G$ with maximum degree at most $3$ and $G \ne K_4$, $Z(G) \le \alpha(G) + 1$, where $Z$ is the zero forcing number and $\alpha$ the independence number.

Assessment

Renown 1/5

Known mainly within the automated-conjecturing community; highlighted in a 2025 survey as one of a handful of machine conjectures resisting both proof and counterexample.

Attackability 4/5

Finite witness with computable (NP-hard but small-scale feasible) invariants; subcubic graphs enumerate cleanly; a nine-year survival under active attention is the main warning sign.

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

Claims

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

No active claims.

I resolved this

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