Combinatorics / CONCEPT
Fixed Avoiders of the Third Iterate
The generating functions for 231- and 312-avoiders fixed by the third iterate of the fundamental bijection are rational.
Closed
DIRECT PREREQUISITES8
DIRECT CONSEQUENCES0
PROOF DEPTH11
DOCUMENT LINKS1
The third-iterate generating function
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Boundary Entries of Fixed 231-Avoiderstruth-dependency · Closed
- Exclusion of Large Fixed 231-Avoiderstruth-dependency · Closed
- Low Entries in the Forced Prefixtruth-dependency · Closed
- Size Bound for Indecomposable Fixed 312-Avoiderstruth-dependency · Closed
- The Initial Pair after the Maximum and Onetruth-dependency · Closed
- The Penultimate Record Blocktruth-dependency · Closed
- The Penultimate Value of the Original Wordtruth-dependency · Closed
- Unique Direct-Sum Factorizationtruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Boundary Entries of Fixed 231-Avoidersstructural-affinity · Closed
- Exclusion of Large Fixed 231-Avoidersstructural-affinity · Closed
- Low Entries in the Forced Prefixstructural-affinity · Closed
- Size Bound for Indecomposable Fixed 312-Avoidersstructural-affinity · Closed
- The Initial Pair after the Maximum and Onestructural-affinity · Closed
- The Penultimate Record Blockstructural-affinity · Closed
- The Penultimate Value of the Original Wordstructural-affinity · Closed
- Unique Direct-Sum Factorizationstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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