Combinatorics / CONCEPT
A bijection to second-position minima
For n at least four, T(n) bijects augmented(n-1) with the simple permutations of size n in C having their minimum second. The map undoT(n) is its inverse on both sets.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS1
A bijection to second-position minima
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
- Contracting the first two entriesstructural-affinity · Closed
- Decreasing inflation at an early entrystructural-affinity · Closed
- Deleting a minimum in the second positionstructural-affinity · Closed
- Deletion before the minimum when the maximum is secondstructural-affinity · Closed
- Insertion before the minimum when the maximum is secondstructural-affinity · Closed
- Intervals and simplicity in the terminal familiesstructural-affinity · Closed
- Reverse vertical continuationstructural-affinity · Closed
- Second-position and third-position minimastructural-affinity · Closed
- Simplicity after prepending twostructural-affinity · Closed
- The Fibonacci enumerationstructural-affinity · Closed
- The five cases for a third-position minimumstructural-affinity · Closed
- The reverse third-position constructionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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