Combinatorics / CONCEPT
Three-color reciprocal inequality
A proper three-coloring whose mixed vertices have degree two forces a reciprocal potential of at least 23/12, without restrictions on the other degrees or on class sizes.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS1
Unrestricted numerical population inequality
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
- Disjoint-union uniqueness and intersecting linksstructural-affinity · Closed
- Exact stars at a marked packetstructural-affinity · Closed
- Local graphs and reciprocal double countingstructural-affinity · Closed
- Mixed vertices and actual triangle packetsstructural-affinity · Closed
- Ownership at a marked exchangestructural-affinity · Closed
- Reciprocal estimates at the outer mixed countsstructural-affinity · Closed
- Small mixed-population certificatestructural-affinity · Closed
- The outer mixed-count obstructionstructural-affinity · Closed
- Three-color incidence and population reductionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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