Combinatorics / CONCEPT
Separation at Descents
A descent separates the values of a permutation avoiding 132 and 213.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH2
DOCUMENT LINKS1
Values on opposite sides of a descent
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
- Avoidance by Increasing Blocksstructural-affinity · Closed
- Avoidance from Permitted Gapsstructural-affinity · Closed
- Compositions for a Fixed Dyck Shapestructural-affinity · Closed
- Dyck Shape of a Doubled Wordstructural-affinity · Closed
- FranklinInversionstructural-affinity · Closed
- FranklinInversionBasicstructural-affinity · Closed
- FranklinInversionClassificationstructural-affinity · Closed
- FranklinInversionDefsstructural-affinity · Closed
- Hook-Block Decompositionstructural-affinity · Closed
- Increasing-Block Decompositionstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-affinity · Closed
- Necessary Gaps at Ascentsstructural-affinity · Closed
- Nonnesting Avoidance and Generating Functionsstructural-affinity · Closed
- Order Around a Maximumstructural-affinity · Closed
- Permutation squares and the conjectured recurrencestructural-affinity · Closed
- RotationAvoidanceDefsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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