Combinatorics / CONCEPT
Encoding matchings by labeled scan actions
Three distinct actions record openings and the two possible closing ranks of an avoiding matching.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
The scan word determines an avoiding matching
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 between avoiding matchings and accepted wordsstructural-affinity · Closed
- An ordered scan characterizes pattern avoidancestructural-affinity · Closed
- Avoiding matchings yield accepted scan wordsstructural-affinity · Closed
- Constructing a matching from every accepted scanstructural-affinity · Closed
- Decoding accepted action words into perfect matchingsstructural-affinity · Closed
- Normalized bases and pending openingsstructural-affinity · Closed
- Perfect matchings and the Catalan-Fibonacci generating functionstructural-affinity · Closed
- The future order of arcs avoiding P13structural-affinity · Closed
- Transporting total orders through queue deletionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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