Combinatorics / CONCEPT
The Arrow-Wilf Equivalence
The avoidance classes of the two three-letter arrow patterns have equal cardinality in every positive degree.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH10
DOCUMENT LINKS1
The two patterns are equinumerous
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Counting the First Arrow-Pattern Avoidersstructural-affinity · Closed
- Counting the First Decorated Familystructural-affinity · Closed
- Counting the Fixed Gap Tuplesstructural-affinity · Closed
- Counting the Second Arrow-Pattern Avoidersstructural-affinity · Closed
- Decorated Objects for the Second Patternstructural-affinity · Closed
- Inverting the Second Decorated Constructionstructural-affinity · Closed
- Recovering First-Pattern Decorated Datastructural-affinity · Closed
- Uniqueness of the First Decorated Descriptionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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