trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Decomposition of the Second Avoidance Layer

The second avoidance layer splits into a cycle family and two exceptional permutations.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH18
DOCUMENT LINKS1
THEOREM

The families beginning or not ending at the maximum

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Direct recorded relationships
Counting Parameters with a Final MaximumCounting Parameters with aFinal MaximumRecursive Enumeration of First-Endpoint ParametersRecursive Enumeration of First-Endpoint ParametersCounting Avoiders with a Maximal TailCounting Avoiders with aMaximal TailThe Increasing Tail FamilyThe Increasing Tail FamilyDecomposition of the Second Avoidance LayerDecomposition of the SecondAvoidance LayerEnumeration of Iterated 132-AvoidersEnumeration of Iterated132-Avoiders
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
18
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateDecomposition
Repository path
D5/S3/Combinatorics/FundamentalBijection/ThetaIterateDecomposition.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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