Garamvölgyi-Jackson-Jordán Conjecture on Cliques in Minimally Globally Rigid Graphs
resolvedconfidence 70%
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Precise statement
Every minimally generically globally rigid graph in $\mathbb{R}^d$ containing a subgraph isomorphic to $K_{d+2}$ is itself isomorphic to $K_{d+2}$, confirming Conjecture 6.3 of Garamvölgyi, Jackson and Jordán (2025).
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement
fidelity, correctness, priority, or novelty.
What AI did
ChatGPT 5.5
"The proof is entirely generated by ChatGPT 5.5." The author had an intuition about the natural stress-matrix strategy but deliberately withheld it from the prompt; the model independently identified the same strategy, resolved the algebraic difficulty the author was stuck on, and produced the proof, which the author checked and edited.
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
VibeMath has not independently verified the mathematical claim.
AI-attempt independence and training-data exposure are unknown unless explicitly documented.
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.