Combinatorics / CONCEPT
Occurrences of Length-Three Patterns
Occurrences of length-three patterns are characterized by three positions and their pairwise comparisons.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH3
DOCUMENT LINKS1
Three-position characterization
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 Catalan Bijection for Prefixesstructural-affinity · Closed
- Active Letters in the First Classstructural-affinity · Closed
- Appending to the First Avoidance Classstructural-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
- Improper partition matrices and alphabet gapsstructural-affinity · Closed
- Inversion Sequences and Pattern Avoidancestructural-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
- The Second Avoidance Classstructural-affinity · Closed
- Weak Ascent Sequences and Vincular Avoidancestructural-affinity · Closed
- Weak Ascent Sequences Avoiding Four Patternsstructural-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
Loading release versions...
Browse the archiveCertified provenance