Combinatorics / CONCEPT
The order-33 integer domination-root minimality claim
A connected 21-vertex ordinary-domination witness at minus four refutes the complete order-33 minimality claim.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
A 21-vertex counterexample refutes minimality
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
- Critical Vertices and Private Neighboursstructural-affinity · Closed
- Dominating sets omitting a stemstructural-affinity · Closed
- One-leaf replication of partial dominating familiesstructural-affinity · Closed
- Real-root configurations of book domination polynomialsstructural-affinity · Closed
- Rooted decomposition and the connected minus-four familystructural-affinity · Closed
- Sublinear edge completion for consecutive cycle sumsstructural-affinity · Closed
- The hub and tail construction for consecutive cycle sumsstructural-affinity · Closed
- The one-copy hub isomorphismstructural-affinity · Closed
- Transporting residual dominationstructural-affinity · Closed
- Trapezohedral minimal dominationstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance