Combinatorics / CONCEPT
Cuts for a Centerless Skew-Merged Permutation
A skew-merged permutation with no overlapping monotone cover has four nonempty regions separated by an interior row cut and an interior column cut.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
Four regions and forced neighboring cells
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 Permutation Grid with 155 Rook Placementsstructural-affinity · Closed
- Boundary-Minimal Permutations and Their Placement Countsstructural-affinity · Closed
- Crossword Grids and Rook Placementsstructural-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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