Combinatorics / CONCEPT
Indecomposability after Maximum Insertion
Inserting a new maximum destroys direct-sum boundaries precisely when each preceding boundary has an inversion across it.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS1
The boundary criterion
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
- A Component-Weighted Indecomposable Recurrencestructural-affinity · Closed
- Active Positions for 2413 and 2431 Avoidersstructural-affinity · Closed
- Active Positions in Direct Sums Avoiding 2413 and 2431structural-affinity · Closed
- Active Positions in Direct Sums Avoiding 2431 and 3241structural-affinity · Closed
- Constructing Indecomposable 2413 and 2431 Avoidersstructural-affinity · Closed
- Counting Component Boundariesstructural-affinity · Closed
- Enumeration of Two Fishburn Avoidance Classesstructural-affinity · Closed
- Enumeration, generating series, and linear recurrencestructural-affinity · Closed
- Explicit families and first-entry boundsstructural-affinity · Closed
- First entry four and complete classificationstructural-affinity · Closed
- The Archer-Bourne square recurrence fails at elevenstructural-affinity · Closed
- The first component and the layered tailstructural-affinity · Closed
- The Fishburn Condition under Direct Sumstructural-affinity · Closed
- Unique Direct-Sum Componentsstructural-affinity · Closed
- Updating Active Positions for 2431 and 3241 Avoidersstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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