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Combinatorics / CONCEPT

A family with equal third and unequal second principal specializations

For every positive j, the source caterpillars (5,j,j,4,3) and (4,j,j,5,3) have different second and identical third ordinary chromatic symmetric principal specializations.

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The complete finite spine sum

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A family with equal third and unequal second principal specializationsA family with equal third andunequal second principalspecializationsA counterexample to the exhaustive-pairs assertionA counterexample to theexhaustive-pairs assertion
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/PrincipalSpecialization/BinghamCaterpillarPs3Family
Repository path
D5/S3/Combinatorics/Graph/PrincipalSpecialization/BinghamCaterpillarPs3Family.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.