Source authenticated

The Imbalance Conjecture

The key step is a lower bound on the truncated imbalance sum, which yields every Erdos-Gallai inequality for the sorted imbalance list; a parity computation finishes it.

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. 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 Imbalance Conjecture · Imbalance conjecture

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

GPT-5.6 Sol Max
model · ai model contributor · OpenAI

Yousof Yavari
human · human collaborator

Lineage and corrections

Corrects The Imbalance Conjecture →

Supersedes The Imbalance Conjecture →

This event attributed to GPT-5.6 Sol Max

The key step is a lower bound on the truncated imbalance sum, which yields every Erdos-Gallai inequality for the sorted imbalance list; a parity computation finishes it. parent of this event

Imbalance conjecture evidence for this event

This event attributed to Yousof Yavari

The Imbalance Conjecture evidence for this event

VibeMathed record: The Imbalance Conjecture evidence for this event

The Imbalance Conjecture parent of this event

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