Combinatorics / CONCEPT
A Catalan Bijection for Prefixes
Inversion sequences with increasing positive entries correspond to weakly increasing inversion sequences.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH5
DOCUMENT LINKS1
A bijection preserving length and maximum
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
- A Bijection with Bounded Sorted Labelsstructural-affinity · Closed
- Class-C Admissible Sitesstructural-affinity · Closed
- Class-C Affine Continuation and Recurrencesstructural-affinity · Closed
- Class-C Continuation Pathsstructural-affinity · Closed
- Class-C Path Insertion and Complementsstructural-affinity · Closed
- Enumeration of Gap Suffixesstructural-affinity · Closed
- Enumeration of the Right Avoidance Classstructural-affinity · Closed
- Independent Choices of Block Boundariesstructural-affinity · Closed
- Multiplicities of Ordered Binary Choicesstructural-affinity · Closed
- Occurrences of Length-Three Patternsstructural-affinity · Closed
- Position Bounds for Rotated Blocksstructural-affinity · Closed
- Rotation Blocks for 201 and 210 Avoidancestructural-affinity · Closed
- Structure of the Left Avoidance Classstructural-affinity · Closed
- Structure of the Right Avoidance Classstructural-affinity · Closed
- Weakly Increasing Inversion Sequences and Dyck Pathsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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