Combinatorics / CONCEPT
Log-concavity of the full crown f-vector
Every positive crown has a log-concave full geometric face vector.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH13
DOCUMENT LINKS1
Conjecture 3.7 for every positive n
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Actual geometric face countsstructural-affinity · Closed
- All positive crown sizesstructural-affinity · Closed
- Counting selected odd blocksstructural-affinity · Closed
- Finite weighted subset lawsstructural-affinity · Closed
- Newton inequalities from the upstream symmetric-function proofstructural-affinity · Closed
- Real-rooted general position polynomialsstructural-affinity · Closed
- Recovering endpoint selectionsstructural-affinity · Closed
- The auxiliary scalar polynomialstructural-affinity · Closed
- The crown auxiliary Chebyshev identitystructural-affinity · Closed
- The two exceptional verticesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance