Combinatorics / CONCEPT
Mixed graph matrices and spectral signature
The spectral signature of a graph Laplacian plus a positive adjacency weight is nonincreasing.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
Signature monotonicity on the positive axis
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
- An infinite twin-free theta separating familystructural-affinity · Closed
- Confluent Negative Jet Blockstructural-affinity · Closed
- Continuant obstruction and coordinate dimensionsstructural-affinity · Closed
- Finite Spectral Localizerstructural-affinity · Closed
- Full-Rank Inertia Pullbackstructural-affinity · Closed
- Invertible Hermitian Inertia Pullbackstructural-affinity · Closed
- Point-Gap Exact Inertiastructural-affinity · Closed
- Point-Gap Finite-Scale Stabilitystructural-affinity · Closed
- Point-Gap Radial Gap Pathstructural-affinity · Closed
- The order-one boundary of the cyclic SGB extensionstructural-affinity · Closed
- Theta graph structure and metric dimensionstructural-affinity · Closed
- Well-covered powers with unbounded diameterstructural-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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