Problem detail · source-aware

Graffiti Conjecture 154 (Standard-Deviation Reading)

openconfidence 70%

VibeMathed reports this item as open. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Precise statement

For every connected graph, is the deviation of its adjacency eigenvalues at most its order divided by its average distance? Exact lollipop-graph certificates refute the inequality when deviation means population standard deviation, under both common average-distance conventions.

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

Demonstrandum multi-agent pipeline

Found by the Demonstrandum multi-agent pipeline; the certificate ships with mutation-tested checkers and an independent clean-room recomputation.

Provider: unknown · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

Exact certificate verified by two independently written checkers; public artifacts repository. Not externally refereed.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

  1. Demonstrandum artifacts repository (RESULTS.md)

    refuted under the standard-deviation reading; the statement is reading-sensitive and other readings remain open

Known method families

construction (source-reported)

Source-reported tools: construction.

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.