Combinatorics / CONCEPT
Finite dominating-set averages
Finite dominating sets have positive family sizes and exact rational average orders.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH1
DOCUMENT LINKS0
Isomorphism invariance
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Critical Vertices and Private Neighbourstruth-dependency · Closed
- Deleting a stem and its leavestruth-dependency · Closed
- One-leaf replication of partial dominating familiestruth-dependency · Closed
- Real-root configurations of book domination polynomialstruth-dependency · Closed
- Trapezohedral minimal dominationtruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A Dom-Path Longer Than the Jaco Graph Diameter Boundstructural-affinity · Closed
- An obstruction to global coalition universalitystructural-affinity · Closed
- Božović Conjecture 12: limited domination in Sierpiński graphsstructural-affinity · Closed
- Classification by an apex and an opposite labelstructural-affinity · Closed
- Critical Vertices and Private Neighboursstructural-affinity · Closed
- Deleting a stem and its leavesstructural-affinity · Closed
- Five paired coalition parts in the height-five binary treestructural-affinity · Closed
- One-leaf replication of partial dominating familiesstructural-affinity · Closed
- Real-root configurations of book domination polynomialsstructural-affinity · Closed
- Refutation of Annor Conjecture 14structural-affinity · Closed
- Regular Graph Covers and Dominationstructural-affinity · Closed
- Replicated dominating-set averagesstructural-affinity · Closed
- The Koch-Narayan bipartite edge bound is falsestructural-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
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