trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Leaf Existence in Sparse Matching-Cone-Saturated Graphs

Every finite maximal H-free graph of order at least twenty with at most order plus five edges has a vertex of degree one, for the cone H over three disjoint edges and an isolated vertex.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
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THEOREM

A Sparse Saturated Host Has a Leaf

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Leaf Neighbors in Sparse Matching-Cone-Saturated GraphsLeaf Neighbors in SparseMatching-Cone-Saturated GraphsLeaf Existence in Sparse Matching-Cone-Saturated GraphsLeaf Existence in SparseMatching-Cone-Saturated Graphs
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/Saturation/MatchingConeLeafExistence
Repository path
D5/S3/Combinatorics/Graph/Saturation/MatchingConeLeafExistence.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.