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Ran-Teng Conjecture 20 on 4-Cycle Stochastic Matrices

Is the exact nonreal spectral region of the four-cycle family of row-stochastic nonnegative matrices determined by the Karpelevich constraint, as Ran and Teng conjectured in 2024?

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Feb 24, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Ran-Teng Conjecture 20 on 4-Cycle Stochastic Matrices · Ran-Teng 20

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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