Combinatorics / CONCEPT
PathCHSNormClosedForm
Complete homogeneous symmetric functions of finite path spectra.
Closed
DIRECT PREREQUISITES5
DIRECT CONSEQUENCES7
PROOF DEPTH10
DOCUMENT LINKS0
The path matrix is Hermitian
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Catalan Root and Lagrange Coefficient Transformtruth-dependency · Closed
- Continuants for Bounded Dyck Path Seriestruth-dependency · Closed
- Forbidden Neighbour Determinanttruth-dependency · Closed
- Hanna's Compositional-Iterate Congruencetruth-dependency · Closed
- The binomial coefficient with an integer lower indextruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
- Cycle partitionstruth-dependency · Closed
- Newtontruth-dependency · Closed
- PathCHSNormBCSRemark43truth-dependency · Closed
- PathCHSNormBCSRemark43ClosedRefutationtruth-dependency · Closed
- Spectral coefficients from part sizestruth-dependency · Closed
- The actual defect family on a cycletruth-dependency · Closed
- The cycle comparison boundtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A bad Anderson potential without nontrivial shared symmetrystructural-affinity · Closed
- A closed form for the generalized Stirling numbers of boson orderingstructural-affinity · Closed
- Adjacent units from the actual defect geometrystructural-affinity · Closed
- All-size enumeration of matchings avoiding 132, 213 and 321structural-affinity · Closed
- Catalan powers preserve the two sequence classesstructural-affinity · Closed
- Catalan Root and Lagrange Coefficient Transformstructural-affinity · Closed
- Coefficients of the Narayana Strip Productstructural-affinity · Closed
- Common roots and periodic trace constraintsstructural-affinity · Closed
- Complete multipartite CHS norm extremastructural-affinity · Closed
- Complete multipartite graphsstructural-affinity · Closed
- Continuants for Bounded Dyck Path Seriesstructural-affinity · Closed
- Cycle partitionsstructural-affinity · Closed
- Cyclic tridiagonal determinants and transfer tracesstructural-affinity · Closed
- Defsstructural-affinity · Closed
- Diagonal units propagate around a cyclestructural-affinity · Closed
- Endpoint Formulas for Periodic Continuantsstructural-affinity · Closed
- Hanna's Compositional-Iterate Congruencestructural-affinity · Closed
- Hanna's Lagrange parity conjecture for A365574structural-affinity · Closed
- Interfacestructural-affinity · Closed
- Multipartite CHS recurrencestructural-affinity · Closed
- Newtonstructural-affinity · Closed
- PathCHSNormBCSRemark43structural-affinity · Closed
- PathCHSNormBCSRemark43ClosedRefutationstructural-affinity · Closed
- Regular graph CHS extremastructural-affinity · Closed
- Separate Numerator and Denominator Factorizationsstructural-affinity · Closed
- Shankar Q Stieltjes Refutationstructural-affinity · Closed
- Spectral coefficients from part sizesstructural-affinity · Closed
- The actual defect family on a cyclestructural-affinity · Closed
- The binomial coefficient with an integer lower indexstructural-affinity · Closed
- The cycle comparison boundstructural-affinity · Closed
- Weighted Dyck Paths in a Stripstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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