trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Native metric medians and flag families

Native metric medians in hereditary finite-support flip graphs are coordinate majorities. Such a graph is a median graph precisely when its family contains the empty face and is flag.

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PROOF DEPTH1
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THEOREM

The intervals reconstruct the support

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Majority and flag completionMajority and flag completionGeodesics in hereditary finite-support flip graphsGeodesics in hereditary finite-support flip graphsNative metric medians and flag familiesNative metric medians and flagfamilies
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/HereditaryFlip/Median
Repository path
D5/S3/Combinatorics/Graph/HereditaryFlip/Median.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.