Combinatorics / CONCEPT
Placement Counts Under Extreme Insertions
Adding a final maximum, or inserting an interior maximum under a specified ordering condition, cannot decrease the rook-placement count.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS1
Appending a maximum
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
- 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
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