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The Frankl-Peng-Rodl-Talbot Question on Turan Density Intervals

Frankl, Peng, Rodl and Talbot asked in 2007 whether the set of Turan densities of families of $r$-graphs contains intervals. It does: for every $r \ge 3$ the set contains non-degenerate intervals, including one of the form $[1-\delta_r, 1]$.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: May 25, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: The Frankl-Peng-Rodl-Talbot Question on Turan Density Intervals · Turan density intervals

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Xizhi Liu
human · human collaborator

Oleg Pikhurko
human · human collaborator

ChatGPT 5.4 Pro
model · ai model contributor · OpenAI

ChatGPT 5.4 Thinking
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Oleg Pikhurko

This event attributed to Xizhi Liu

This event attributed to ChatGPT 5.4 Thinking

This event attributed to ChatGPT 5.4 Pro

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The Frankl-Peng-Rodl-Talbot Question on Turan Density Intervals — Mathematical Frontier Network