Combinatorics / CONCEPT
The Final-Cycle Bijection
Gap data and a Catalan order reconstruct an avoider with a prescribed final-cycle length.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
Unique final-cycle decomposition
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
- Encoding the Value Gapsstructural-affinity · Closed
- Enumeration of (32; 1 to 3) Avoidersstructural-affinity · Closed
- From the Recurrence to the Cubicstructural-affinity · Closed
- Reconstructing the Final Cyclestructural-affinity · Closed
- Refined Counts by Final Cyclestructural-affinity · Closed
- Splitting at the Largest Valuestructural-affinity · Closed
- Uniqueness of the Distinguished Seriesstructural-affinity · Closed
- Value Gaps and Closed Edgesstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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