Combinatorics / CONCEPT
Words and Symmetries of Permutation Grids
The words of a permutation grid are determined by the sides of its black cells, and every complete placement has the same cardinality.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
Horizontal words and vertical word labels
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
- 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
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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