Combinatorics / CONCEPT
Counting the Fixed Gap Tuples
The fixed colored gap tuples are counted by weak compositions of half the total number of colors.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH8
DOCUMENT LINKS1
Fixed gaps and weak compositions
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 Even-Strip Expansionsstructural-affinity · Closed
- Counting the First Arrow-Pattern Avoidersstructural-affinity · Closed
- Counting the Second Arrow-Pattern Avoidersstructural-affinity · Closed
- Dyck Skeletons and Colored Gapsstructural-affinity · Closed
- Inverting the Second Decorated Constructionstructural-affinity · Closed
- Recovering First-Pattern Decorated Datastructural-affinity · Closed
- Sign-Reversing Cancellation of Colored Gapsstructural-affinity · Closed
- The Arrow-Wilf Equivalencestructural-affinity · Closed
- Uniqueness of the First Decorated Descriptionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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