Combinatorics / CONCEPT
Existence and Uniqueness of Complete Placements
Every permutation grid has a complete placement; overlapping increasing and decreasing covers force uniqueness.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS1
Existence of a complete placement
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
- Cuts for a Centerless Skew-Merged Permutationstructural-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
Content history
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