Combinatorics / CONCEPT
Dyck Skeletons and Colored Gaps
Deleting horizontal steps separates a two-colored Motzkin path into a Dyck skeleton and its ordered colored gaps.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
The skeleton decomposition bijection
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
- Cigler's Signed Strip and Cycle Walk Identitiesstructural-affinity · Closed
- Coefficients of the Narayana Strip Productstructural-affinity · Closed
- Counting the Fixed Gap Tuplesstructural-affinity · Closed
- Folding an Even Cyclestructural-affinity · Closed
- Pairing Dyck Steps into Motzkin Stepsstructural-affinity · Closed
- Sign-Reversing Cancellation of Colored Gapsstructural-affinity · Closed
- Signed Strip Sums and Cycle Walksstructural-affinity · Closed
- Transfer Matrices for Signed Strip Pathsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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