Combinatorics / CONCEPT
Run Lengths under Dyck Path Reflection
Reflection exchanges ascent lengths and descent lengths while reversing their order.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH5
DOCUMENT LINKS1
Reflected ascent lengths
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
- Dyck Shape of a Doubled Wordstructural-affinity · Closed
- Factorizations at the Initial Ascent and Final Descentstructural-affinity · Closed
- Generating Function for a Marked Interior Descentstructural-affinity · Closed
- Generating Function for the Final Descentstructural-affinity · Closed
- Generating Function for the Penultimate Descentstructural-affinity · Closed
- Interleaving Along a Step Sequencestructural-affinity · Closed
- Permutation and Dyck-Path Encodingstructural-affinity · Closed
- Reflection of Dyck Pathsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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