trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Avoiding all local collisions

A marked edge-labeling avoiding every incident additive triple makes the cubic graph additively rigid.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS0
THEOREM

A finite union bound

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Counting additive triples for cubic AR labelingCounting additive triples forcubic AR labelingTotal edge-label extensionTotal edge-label extensionMarked-edge bad eventsMarked-edge bad eventsAvoiding all local collisionsAvoiding all local collisionsThe large cubic graph constructionThe large cubic graphconstruction
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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/EdgeLabeling/CubicARGraphUnion
Repository path
D5/S3/Combinatorics/EdgeLabeling/CubicARGraphUnion.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.