Combinatorics / CONCEPT
The Luiz–Vieira generalized Blanuša closing conjecture is false
The first generalized Blanuša snark has a [21]-Roman function of weight 108 and every independent [21]-Roman function has weight at least 110.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
A counterexample at B₁¹ and k = 21
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
- Boundary charging for degree-two verticesstructural-affinity · Closed
- Critical Vertices and Private Neighboursstructural-affinity · Closed
- Equality Graphs for the Two-Thirds Boundstructural-affinity · Closed
- Neighbour Replacement for Self-Critical Verticesstructural-affinity · Closed
- Real-root configurations of book domination polynomialsstructural-affinity · Closed
- Regular Graph Covers and Dominationstructural-affinity · Closed
- Stem-block counting for dominating setsstructural-affinity · Closed
- The local average at a stemstructural-affinity · Closed
- Two-Thirds Bound for Dominating-Set Averagesstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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