trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

From Exceptional Gap Words to Layer Supports

Gap prefixes recover the support, and the six exceptional roots reduce to four fourteen-column supports up to reflection.

Closed Authored exposition
DIRECT PREREQUISITES10
DIRECT CONSEQUENCES1
PROOF DEPTH6
DOCUMENT LINKS1
THEOREM

Translated columns are gap-prefix positions

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Direct recorded relationships
Bounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsBounded Gap RootsExact Layer Codes on Exceptional SupportsExact Layer Codes onExceptional SupportsFourteen-Column Words with a Long GapFourteen-Column Words with aLong GapRequests, Collisions, and Cyclic Gap ScoresRequests, Collisions, andCyclic Gap ScoresFrom Exceptional Gap Words to Layer SupportsFrom Exceptional Gap Words toLayer SupportsEvery Ten-Vertex Set Has Boundary at Least EightEvery Ten-Vertex Set HasBoundary at Least Eight
Proof dependencyStructural affinityDocument link

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Certified provenance

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Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/GeneralizedPetersen/ZeroForcingThreeGapRootSupport
Repository path
D5/S3/Combinatorics/GeneralizedPetersen/ZeroForcingThreeGapRootSupport.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.