trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

Uniform Extension by One Vertex

A representation of a vertex deletion by two k-uniform words extends to the whole graph by two (k+1)-uniform words, with an arbitrary neighborhood.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS2
THEOREM

An arbitrary neighborhood costs at most one unit of uniformity

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An Explicit Membership Graph Outside G₂An Explicit Membership GraphOutside G₂Uniform Extension by One VertexUniform Extension by One VertexStrict Positive Uniform HierarchyStrict Positive UniformHierarchy
Proof dependencyStructural affinityDocument link

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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/GraphRepresentation/UniformVertexExtension
Repository path
D5/S1/Words/GraphRepresentation/UniformVertexExtension.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.