Combinatorics / CONCEPT
Dyck Shape of a Doubled Word
Parity of the preceding multiplicities determines the step sequence of a doubled word.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH4
DOCUMENT LINKS1
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 from Permitted Gapsstructural-affinity · Closed
- Compositions for a Fixed Dyck Shapestructural-affinity · Closed
- Enumeration for 1233 and 1322structural-affinity · Closed
- Factorizations at the Initial Ascent and Final Descentstructural-affinity · Closed
- Hook-Block Decompositionstructural-affinity · Closed
- Interleaving Along a Step Sequencestructural-affinity · Closed
- Necessary Gaps at Ascentsstructural-affinity · Closed
- Permutation and Dyck-Path Encodingstructural-affinity · Closed
- Reflection of Dyck Pathsstructural-affinity · Closed
- Run Lengths under Dyck Path Reflectionstructural-affinity · Closed
- Separation at Descentsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance