Combinatorics / CONCEPT
Boundary-Minimal Permutations and Their Placement Counts
Boundary-minimal permutations that are not skew-merged have two explicit shapes up to value complementation, and the first family has at least three placements.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Two boundary-minimal shapes
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
- Cuts for a Centerless Skew-Merged Permutationstructural-affinity · Closed
- Every Natural Rook-Placement Count Occursstructural-affinity · Closed
- Existence and Uniqueness of Complete Placementsstructural-affinity · Closed
- Placement Counts Under Extreme Insertionsstructural-affinity · Closed
- Skew-Merged Permutations and Rook Placementsstructural-affinity · Closed
- Skew-Merged Permutations Are Exactly Those With One or Two Placementsstructural-affinity · Closed
- Split Graphs and Forbidden Permutation Patternsstructural-affinity · Closed
- The Forward Implicationstructural-affinity · Closed
- Words and Symmetries of Permutation Gridsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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