trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Real planar rigidity and spanning Laman graphs

For every finite vertex type in every universe, a simple graph on at least two vertices admits a real planar placement with rigidity kernel dimension at most three exactly when it contains a spanning Laman subgraph.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS0
THEOREM

Independent rows give a spanning Laman subgraph

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Certified topology / DOWNSTREAM

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/Laman/PlanarLaman
Repository path
D5/S3/Combinatorics/Graph/Laman/PlanarLaman.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.