Combinatorics / CONCEPT
An Extreme Value in the Inverse Image
A maximal first entry of the inverse image determines the last entry of the original permutation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES8
PROOF DEPTH4
DOCUMENT LINKS1
A terminal one
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A Cycle Forced by Two Successorstruth-dependency · Closed
- Boundary Entries of Fixed 231-Avoiderstruth-dependency · Closed
- Counting Parameters with a Final Maximumtruth-dependency · Closed
- Exclusion of Large Fixed 231-Avoiderstruth-dependency · Closed
- Low Entries in the Forced Prefixtruth-dependency · Closed
- Size Bound for Indecomposable Fixed 312-Avoiderstruth-dependency · Closed
- The Entry Following the Maximumtruth-dependency · Closed
- The Penultimate Value of the Original Wordtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A Cycle Forced by Two Successorsstructural-affinity · Closed
- An Upward Edge and a Later Intermediate Valuestructural-affinity · Closed
- Boundary Entries of Fixed 231-Avoidersstructural-affinity · Closed
- Counting Parameters with a Final Maximumstructural-affinity · Closed
- Exclusion of Large Fixed 231-Avoidersstructural-affinity · Closed
- Incompatible Terminal Entriesstructural-affinity · Closed
- Low Entries in the Forced Prefixstructural-affinity · Closed
- Record Bounds and the Inverse Bijectionstructural-affinity · Closed
- Record-Block Characterization of 132-Avoidancestructural-affinity · Closed
- Size Bound for Indecomposable Fixed 312-Avoidersstructural-affinity · Closed
- The Entry Following the Maximumstructural-affinity · Closed
- The Pair before the Terminal Configurationstructural-affinity · Closed
- The Penultimate Value of the Original Wordstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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