Combinatorics / CONCEPT
Fixed resistance does not force an invariant Fiedler maximizer
Invariant weights cannot maximize the Fiedler value at fixed resistance on K23.
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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
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Refutation on K23
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Connected nonnegative conductances on the original finite vertex setstructural-affinity · Closed
- Strong cospectrality does not satisfy the general multiplicity boundstructural-affinity · Closed
- The complete graph maximizes the trace of the average mixing matrixstructural-affinity · Closed
- The fixed-resistance optimizer on the full labelled K2m familystructural-affinity · Closed
- The path-ends derivative does not minimize Kemeny's edge derivativestructural-affinity · Closed
- The sharp product and its two positive spectral raysstructural-affinity · Closed
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