Combinatorics / CONCEPT
Actual cutoff spectral bounds
Euclidean spectral remainder bounds for the actual finite inner-face Apollonian graphs.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
Row and column bounds control the Euclidean operator
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
- Actual cutoff dilation spectrumstructural-affinity · Closed
- Fixed-cutoff Gram limitstructural-affinity · Closed
- Inner-face Apollonian stagesstructural-affinity · Closed
- Second eigenvalue of the inner-face Apollonian stagesstructural-affinity · Closed
- Unequal block dilation spectrastructural-affinity · Closed
Documents & exposition
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