Combinatorics / CONCEPT
RotationAvoidanceAscending
Permutations avoiding 123 and 3412 admit descriptions by a decreasing interval after the minimum and shuffles of the entries below and above that interval.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH5
DOCUMENT LINKS1
Decomposition of avoidance of 123 and 3412
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
- RotationAvoidanceCountsstructural-affinity · Closed
- RotationAvoidanceDescendingstructural-affinity · Closed
- RotationAvoidanceEnumerationstructural-affinity · Closed
- RotationAvoidanceFibonaccistructural-affinity · Closed
- RotationAvoidanceLinearstructural-affinity · Closed
- RotationAvoidanceMixedstructural-affinity · Closed
- RotationAvoidanceMixedEmptyCountstructural-affinity · Closed
- RotationAvoidanceOneAscentstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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