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Babai's Minimal Cayley Graph Problem

A Cayley graph is minimal when no proper subset of its connection set generates the group. Babai asked whether minimal Cayley graphs have bounded chromatic number. Resolved negatively: finite minimal Cayley graphs exist with arbitrarily large chromatic number.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Aug 6, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Babai's Minimal Cayley Graph Problem · Babai minimal Cayley

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

James Davies
human · human collaborator

Meike Hatzel
human · human collaborator

Liana Yepremyan
human · human collaborator

ChatGPT 5.6 Sol
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to James Davies

This event attributed to Meike Hatzel

This event attributed to Liana Yepremyan

This event attributed to ChatGPT 5.6 Sol

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