trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Circular hypergraphs do not maximise orientation-count entropy

A four-edge three-uniform multihypergraph has greater entropy than the circle.

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THEOREM

The circular maximality conjecture is false

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Entropy maximisers need not have balanced degreesEntropy maximisers need nothave balanced degreesCircular hypergraphs do not maximise orientation-count entropyCircular hypergraphs do notmaximise orientation-countentropy
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Status
Closed
Depth
1
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Hypergraphs/CircularOrientationEntropy
Repository path
D5/S0/Certificates/Hypergraphs/CircularOrientationEntropy.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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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.