Combinatorics / CONCEPT
Concentrating two paths on the original bipartition
Two actual B-ended paths concentrate on the complete original labelled bipartition with an exact six-vertex residual and a signed-Catalan shift.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
The actual graph move and its exact Catalan difference
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
- Componentwise balance fails for actual rectangular residualsstructural-affinity · Closed
- Dissipative free-fermion roots in the upper half-planestructural-affinity · Closed
- L Polyominoes and Skipped Numbersstructural-affinity · Closed
- PartitionRelabelingstructural-affinity · Closed
- Saturated geometry of an even rectanglestructural-affinity · Closed
- SquareGridCoordinatesstructural-affinity · Closed
- The Catalan functional on finite linear forestsstructural-affinity · Closed
- The Catalan functional on pathsstructural-affinity · Closed
- The Triangular Prism Refutes Pandey's Parity Conjecturestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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