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Growth Constants for Lipschitz Functions on Sparse Random Graphs

Resolved the sharp constant (w.h.p.) for random graphs $G(n, d/n)$ . As $n\rightarrow\infty$ and then $d\rightarrow\infty$ , the author proves $log c(G)=\pi^2/6d$ .

Exact FrontierDelta

proved→proved

Scope and record

Occurred: Oct 29, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.

Canonical aliases: Growth Constants for Lipschitz Functions on Sparse Random Graphs · Lipschitz growth constant

Confidence: Not scored

Registry verification: unreviewed · preprint · partial

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Attribution

VibeMathed
registry · event recorded by

GPT-5.5
model · ai model contributor · OpenAI

Samuel Korsky
human · human collaborator

Lineage and corrections

Corrects Growth Constants for Lipschitz Functions on Sparse Random Graphs →

Supersedes Growth Constants for Lipschitz Functions on Sparse Random Graphs →

This event attributed to GPT-5.5

VibeMathed record: Growth Constants for Lipschitz Functions on Sparse Random Graphs evidence for this event

This event attributed to Samuel Korsky

Growth Constants for Lipschitz Functions on Sparse Random Graphs parent of this event

Growth Constants for Lipschitz Functions on Sparse Random Graphs evidence for this event

Korsky, Saffat & Aiylam 2024: Previous best bound evidence for this event

Resolved the sharp constant (w.h.p.) for random graphs $G(n, d/n)$ . As $n\rightarrow\infty$ and then $d\rightarrow\infty$ , the author proves $log c(G)=\pi^2/6d$ . parent of this event

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