Combinatorics / CONCEPT
Improper partition matrices and alphabet gaps
The fixed Claesson-Dukes-Kubitzke image of improper partition matrices is characterized by the gaps in the whole alphabet of an inversion sequence.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
The complete image characterization
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Class-C Admissible Sitesstructural-affinity · Closed
- FishburnDefsstructural-affinity · Closed
- FranklinInversionDefsstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-affinity · Closed
- Occurrences of Length-Three Patternsstructural-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
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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