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OP-6524SolvedProbability

Rank log-concavity for symmetric binary matrices through order fifty

TheoremDB P2598 · probabilistic combinatorics

MSC 60 · Probability theory and stochastic processes

Inferred from the community field; finer classification has not been reviewed.

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓
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Problem statement

For 1≤n≤501\le n\le50, let Rn,rR_{n,r} count symmetric n×nn\times n matrices over F2\mathbb F_2 of rank rr. Is (Rn,0,Rn,1,…,Rn,n)(R_{n,0},R_{n,1},\ldots,R_{n,n}) log-concave for every such nn?

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Resolved. Not Lean-verified

References
  1. [1]TheoremDB P2598 link

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