Combinatorics / CONCEPT
Iterated Pattern Avoidance and Its Counts
The avoidance layers count permutations whose initial orbit segments avoid a fixed pattern.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Counting Avoiders with a Maximal Tailstructural-affinity · Closed
- Cycles from Record Blocksstructural-affinity · Closed
- Partition into Marked Intervalsstructural-affinity · Closed
- Record Bounds and the Inverse Bijectionstructural-affinity · Closed
- Record-Block Characterization of 132-Avoidancestructural-affinity · Closed
- Reduction along the Distinguished Cyclestructural-affinity · Closed
- Splitting at the Final Valuestructural-affinity · Closed
- The Fundamental Bijection and Fixed Avoidersstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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