Combinatorics / CONCEPT
Product Orbits of Two Perfect Matchings
Two fixed-point-free involutions split every matching component into two integer-power orbits of their product.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS0
Excluding Reflection Stabilizers
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Band Switching and Expectation Symmetrystructural-affinity · Closed
- Combinatorics: Deformed Jucys Murphy Chargestructural-affinity · Closed
- Combinatorics: Deformed Jucys Murphy Walkstructural-affinity · Closed
- Finite Alternating Paths and Endpoint Pairingstructural-affinity · Closed
- Finite matching networks and series contractionstructural-affinity · Closed
- First-return matching compositionstructural-affinity · Closed
- Headley nonsplit extensionstructural-affinity · Closed
- K4 Signed Ribbons and the Dyadic Obstructionstructural-affinity · Closed
- Noncommuting deformed Jucys--Murphy operators on the cyclic orbitstructural-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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