Combinatorics / CONCEPT
Fixed Points and the Two Avoidance Conditions
The two patterns are characterized by increasing pairs on opposite sides of a fixed point of the inverse Foata map.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
Occurrences of the first pattern
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
- Arrow Patterns and Their Avoidance Classesstructural-affinity · Closed
- Counting Words by Their Fixed Pointsstructural-affinity · Closed
- Cyclic Pattern Avoidancestructural-affinity · Closed
- Insertion and Singleton Cyclesstructural-affinity · Closed
- Nonnesting Avoidance and Generating Functionsstructural-affinity · Closed
- Splitting at the Largest Valuestructural-affinity · Closed
- The (32; 1 to 3) Avoidance Seriesstructural-affinity · Closed
- The Fibonacci enumeration assertionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
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