trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Integrality obstruction to the exact Wang–Tian strong-digraph formula

The unrestricted exact eventual formula for the maximum number of arcs in a saturated strict digraph fails at connectivity three and arbitrarily large odd orders.

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THEOREM

No threshold satisfies the full exact formula

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Integrality obstruction to the exact Wang–Tian strong-digraph formulaIntegrality obstruction to theexact Wang–Tian strong-digraphformula
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/Saturation/WangTianStrongSaturationRefutation
Repository path
D5/S3/Combinatorics/Graph/Saturation/WangTianStrongSaturationRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.