trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Online majority edge-colouring at five to seven vertices

Four colours cannot guarantee online majority edge-colouring for every order from five to seven.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES0
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

No joint four-colour online strategy

RELATIONSHIP ATLAS

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Online majority edge-colouring at five to seven verticesOnline majority edge-colouringat five to seven vertices
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Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

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Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Games/PekalaOnlineMajorityFourColourRefutation
Repository path
D5/S0/Certificates/Games/PekalaOnlineMajorityFourColourRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

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.