Combinatorics / CONCEPT
Well-covered powers with unbounded diameter
Cartesian products with a sufficiently large clique preserve well-covered powers and increase the diameter by one. Starting from the seven-cycle gives arbitrary diameters at least three.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
PROOF DEPTH0
DOCUMENT LINKS0
Distance in a clique product
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A nearly empty Cartesian layerstructural-affinity · Closed
- An empty Cartesian layerstructural-affinity · Closed
- Characterizing well-covered Cayley squaresstructural-affinity · Closed
- Continuant obstruction and coordinate dimensionsstructural-affinity · Closed
- Matching-twisted clique cyclesstructural-affinity · Closed
- Mixed graph matrices and spectral signaturestructural-affinity · Closed
- Mobile general position on two exceptional cylindersstructural-affinity · Closed
- Theta graph structure and metric dimensionstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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