Source authenticated

The Simonovits Product Conjecture

One construction disproves both the product conjecture and its no-forest form (Conjectures 1.1 and 1.3), but not the weak form of the conjecture (Conjecture 1.2).

Exact FrontierDelta

disproved→disproved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: lean-checked. Publication: preprint. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: The Simonovits Product Conjecture · Product conjecture

Confidence: Not scored

Registry verification: lean checked · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

GPT-5.6 Sol
model · ai model contributor · OpenAI

Chuandong Xu
human · human collaborator

Artifacts and verifiers

Github repo of the counterexample

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

Corrects The Simonovits Product Conjecture →

Supersedes The Simonovits Product Conjecture →

The Simonovits Product Conjecture parent of this event

Füredi & Simonovits 2013 - Earliest known conjecture statement evidence for this event

VibeMathed record: The Simonovits Product Conjecture evidence for this event

The Simonovits Product Conjecture evidence for this event

One construction disproves both the product conjecture and its no-forest form (Conjectures 1.1 and 1.3), but not the weak form of the conjecture (Conjecture 1.2). parent of this event

Github repo of the counterexample evidence for this event

This event attributed to GPT-5.6 Sol

This event attributed to Chuandong Xu

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