Combinatorics / CONCEPT
Nonnesting Avoidance and Generating Functions
Doubled-word avoidance classes and their generating-function identities are defined.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES10
PROOF DEPTH1
DOCUMENT LINKS1
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Enumeration for 1132 and 2213truth-dependency · Closed
- FishburnDefstruth-dependency · Closed
- FranklinInversionDefstruth-dependency · Closed
- Inversion Sequences and Pattern Avoidancetruth-dependency · Closed
- Occurrence Orders in Doubled Wordstruth-dependency · Closed
- Order Around a Maximumtruth-dependency · Closed
- Permutation squares and the conjectured recurrencetruth-dependency · Closed
- RotationAvoidanceDefstruth-dependency · Closed
- Separation at Descentstruth-dependency · Closed
- Weak Ascent Sequences Avoiding Four Patternstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Arrow Patterns and Their Avoidance Classesstructural-affinity · Closed
- Enumeration for 1132 and 2213structural-affinity · Closed
- FishburnDefsstructural-affinity · Closed
- Fixed Points and the Two Avoidance Conditionsstructural-affinity · Closed
- FranklinInversionDefsstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-affinity · Closed
- Occurrence Orders in Doubled Wordsstructural-affinity · Closed
- Order Around a Maximumstructural-affinity · Closed
- Permutation squares and the conjectured recurrencestructural-affinity · Closed
- RotationAvoidanceDefsstructural-affinity · Closed
- Separation at Descentsstructural-affinity · Closed
- The (32; 1 to 3) Avoidance Seriesstructural-affinity · Closed
- Weak Ascent Sequences Avoiding Four Patternsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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