Combinatorics / CONCEPT
Near-Line Avoidance on the Three-Dimensional Board
Ordinary integer-board line avoidance forces a strict upper bound on maximal saturated density.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Axis-parallel line
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Cyclic Latin Eulerian Numbers Are Not Fully Symmetricstructural-affinity · Closed
- Explicit Permutation Statisticsstructural-affinity · Closed
- Interior Multiples of the Latin Eulerian Totalstructural-affinity · Closed
- Latin Squares and Column Ascentsstructural-affinity · Closed
- Latinness of the literal H familystructural-affinity · Closed
- Residue Comparisons After Swapping Zero and Onestructural-affinity · Closed
- Row Counting and Row Reversalstructural-affinity · Closed
- The distinguished-entry obstructionstructural-affinity · Closed
- The Shifted-Square Ascent Formulastructural-affinity · Closed
- Three transversals of the H familystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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