trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Sharp quadratic loads on stars

The star has explicit optimal quadratic shares and an explicit maximizing probability vector. Its value also bounds every finite graph from below through its maximum degree.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Every graph contains the maximum-degree obstruction

RELATIONSHIP ATLAS

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Direct recorded relationships
Quadratic edge loads and regular componentsQuadratic edge loads andregular componentsSharp quadratic loads on starsSharp quadratic loads on stars
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Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/QuadraticLoad/StarExtrema
Repository path
D5/S3/Combinatorics/Graph/QuadraticLoad/StarExtrema.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.