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Graffiti's Residue Problem for Common-Divisor Graphs

A problem from Fajtlowicz's Graffiti program, studied by Erdős and Staton, on the Havel-Hakimi residue of common-divisor graphs. The paper resolves the problem and extends it, determining the residue's first-order scale and its nontrivial constant from the degree sequence.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Aug 3, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Graffiti's Residue Problem for Common-Divisor Graphs · Graffiti residue problem

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Randy Davila
human · human collaborator

Theo-Conjecture
model · ai model contributor

OpenAI Codex
model · ai model contributor

Lineage and corrections

This event attributed to Randy Davila

This event attributed to OpenAI Codex

This event attributed to Theo-Conjecture

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