trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

The extremal lower-bound constructions

Explicit unions of nine-cycle products, with one exceptional component when needed, attain the prime bound.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

Constructing a union of the extremal order

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Direct recorded relationships
The order spectrum of a cycle-clique unionThe order spectrum of a cycle-clique unionThe extremal lower-bound constructionsThe extremal lower-boundconstructionsDyson and McKay's cycle-clique optimalityDyson and McKay's cycle-cliqueoptimality
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/RegularInduced/DysonMcKayLower
Repository path
D5/S3/Combinatorics/RegularInduced/DysonMcKayLower.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
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.