Combinatorics / CONCEPT
The token-graph cut bound fails on a five-cycle blow-up
A phase product on the 100-token graph of the five-cycle blow-up with block size 40 has Rayleigh quotient below the cut and matching bound of Apte, Parekh and Sud.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS0
A phase test contradicts the bound
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
- A disconnected counterexample to the token-radius conjecturestructural-affinity · Closed
- An order-19 counterexample to the broom spectral-ratio conjecturestructural-affinity · Closed
- HermitianCubeDerivativestructural-affinity · Closed
- HermitianHypersurfaceCalculusstructural-affinity · Closed
- New Laplacian layer maxima decrease on the four-vertex starstructural-affinity · Closed
- The spectral degree exponent fails submodularitystructural-affinity · Closed
- Weil: Hermitian Pos Partstructural-affinity · Closed
- Weil: Rank Tracestructural-affinity · Closed
- Weil: Sylvesterstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
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