Source authenticated

Seymour's Second Neighborhood Conjecture

minimum out-degree 7; the conjecture is open in general Superseded by a claimed proof of the full conjecture in the OpenAI math release (September 2026), see seymour-second-neighborhood-conjecture.

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. 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: Seymour's Second Neighborhood Conjecture · Second neighborhood

Confidence: Not scored

Registry verification: unreviewed · preprint · partial

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Attribution

VibeMathed
registry · event recorded by

ChatGPT 5.5 Pro
model · ai model contributor · OpenAI

Arpan Sadhukhan
human · human collaborator

R. B. Sandeep
human · human collaborator

Sagnik Sen
human · human collaborator

Lineage and corrections

Corrects Seymour's Second Neighborhood Conjecture →

Supersedes Seymour's Second Neighborhood Conjecture →

Seymour's Second Neighborhood Conjecture parent of this event

This event attributed to R. B. Sandeep

This event attributed to Arpan Sadhukhan

VibeMathed record: Seymour's Second Neighborhood Conjecture evidence for this event

Seymour's Second Neighborhood Conjecture evidence for this event

Stronger result in the OpenAI math release evidence for this event

This event attributed to Sagnik Sen

minimum out-degree 7; the conjecture is open in general Superseded by a claimed proof of the full conjecture in the OpenAI math release (September 2026), see seymour-second-neighborhood-conjecture. parent of this event

This event attributed to ChatGPT 5.5 Pro

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