Combinatorics / CONCEPT
Catalan Orders of the Final Cycle
The final-cycle orders are counted by Catalan numbers through classical 132-avoidance.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS1
Adjacent and classical patterns coincide
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Enumeration of Nonnesting Permutations Avoiding 1322structural-affinity · Closed
- Kernel Recurrence for 1322 Avoidancestructural-affinity · Closed
- Nonnesting under Type I Insertionstructural-affinity · Closed
- Nonnesting under Type II Insertionstructural-affinity · Closed
- Prefix Partition for 1322 Avoidancestructural-affinity · Closed
- Splitting at the Largest Valuestructural-affinity · Closed
- Unique Terminal Factorizationstructural-affinity · Closed
- Weighted Terminal Enumerationstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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