Combinatorics / CONCEPT
An order-19 counterexample to the broom spectral-ratio conjecture
At order nineteen the broom with seven star leaves has larger Laplacian ratio than the broom with eight.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Refutation at order nineteen
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
- Finite Signed-Normal Atomic Localizing Conestructural-affinity · Closed
- FourPrimeIdealIntersectionObstructionsstructural-affinity · Closed
- Graph quantum magic squares on C5structural-affinity · Closed
- HermitianCubeDerivativestructural-affinity · Closed
- HermitianHypersurfaceCalculusstructural-affinity · Closed
- IdealIntersectionObstructionsstructural-affinity · Closed
- Integrating positive mixed curvaturestructural-affinity · Closed
- Logarithm equality forces full finite spectral rigiditystructural-affinity · Closed
- MaximalBirankEdgeStatesstructural-affinity · Closed
- PairedIdealIntersectionCongruencestructural-affinity · Closed
- PairedIdealIntersectionDeterminantsstructural-affinity · Closed
- PairedIdealIntersectionLiftstructural-affinity · Closed
- PairedIdealIntersectionObstructionsstructural-affinity · Closed
- Positive eigenvalues and conditional negativitystructural-affinity · Closed
- Signed-Normal Localizing Matrixstructural-affinity · Closed
- Six-support quotient, balanced threshold, endpoint applications and integer finitenessstructural-affinity · Closed
- Sra: reciprocal-permanent Lorentzian assertionstructural-affinity · Closed
- Sra: symmetric alpha-permanent assertionstructural-affinity · Closed
- The instability count of a Lennard-Jones chainstructural-affinity · Closed
- The token-graph cut bound fails on a five-cycle blow-upstructural-affinity · Closed
- Three point Stolarsky matricesstructural-affinity · Closed
- Weil: Inertiastructural-affinity · Closed
- Weil: Sylvesterstructural-affinity · Closed
- Weil: Tail Rank Onestructural-affinity · Closed
- Weil: Weylstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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