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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

Prior state unknownproved

Scope and record

Occurred: Aug 10, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

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

Yousof Yavari
human · human collaborator

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

Lineage and corrections

This event attributed to Yousof Yavari

This event attributed to GPT-5.6 Sol Max

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