trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Entropy maximisers need not have balanced degrees

An unbalanced three-edge multigraph maximises orientation-count entropy.

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THEOREM

Orientations as a product of finite sets

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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-countentropyFinite Deletion-Channel Entropy OrderingFinite Deletion-Channel EntropyOrderingTwoDeletionChannelEntropyTwoDeletionChannelEntropyA counterexample to the Shannon branch-and-bound lower boundA counterexample to the Shannonbranch-and-bound lower bound
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Closed
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0
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D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Hypergraphs/OrientationEntropyBalance
Repository path
D5/S0/Certificates/Hypergraphs/OrientationEntropyBalance.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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