Combinatorics / CONCEPT
Campbell's group-graph reciprocal-pair conjecture
A sign-coupled group on three edges and two four-cliques refutes the reciprocal-pair classification.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH12
DOCUMENT LINKS0
Refutation
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
- Actual cycle and movement countsstructural-affinity · Closed
- Conditional simultaneous type-I coveragestructural-affinity · Closed
- Cycle boundaries and genuine commutator valuesstructural-affinity · Closed
- Directed forest reconstructionstructural-affinity · Closed
- Literal words and twisted productsstructural-affinity · Closed
- Normalization by actual cycle-base valuesstructural-affinity · Closed
- Signed occurrence balancestructural-affinity · Closed
- Twisted values generate a noncommutative simple groupstructural-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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