Quantum / CONCEPT
The star bound for the least-energy uniform overlap fails
A triangulated complete graph refutes the proposed star bound for the uniform overlap of the least adjacency eigenspace.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
A triangulated complete graph contradicts the bound
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
- Infinitely many non-star trees admit Laplacian peak state transferstructural-affinity · Closed
- Interior perfect state transfer without endpoint transferstructural-affinity · Closed
- Middle-vertex spectral weights and integer moments of odd paths with end transfer at time pistructural-affinity · Closed
- No perfect state transfer at time pi on rational paths with 2^k + 1 verticesstructural-affinity · Closed
- Non-attained Pell phase supremum and unit asymptotic tail decay for two-level treesstructural-affinity · Closed
- Sharp global spectral bound for root-to-leaf Laplacian transfer on two-level treesstructural-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 discriminant clears average mixing denominatorsstructural-affinity · Closed
- The twin end vertex of P'_9 is not sharply 1/9-sedentarystructural-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