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Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank

Regts and Sevenster conjectured that a complex-valued graph parameter $f$ with $f(\varnothing)=1$ has exponentially bounded edge-connection rank precisely when it is a mixed partition function. The paper proves it, with the numbers of even and odd colours bounded in terms of the rank bound.

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Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank · Regts–Sevenster conjecture

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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VibeMathed
registry · event recorded by

William Whistler
human · human collaborator

Claude Fable 5 + GPT-5.6 Sol Pro
model · ai model contributor

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This event attributed to William Whistler

This event attributed to Claude Fable 5 + GPT-5.6 Sol Pro

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Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank — Mathematical Frontier Network