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Combinatorics / CONCEPT

A counterexample to the exhaustive-pairs assertion

The eighteen-vertex caterpillars (2,2,2,2,2,1,4,3) and (2,2,3,2,3,4,2) refute the second, exhaustive-pairs question in Remark 3.11.

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THEOREM

The exhaustive-pairs assertion is false

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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
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/PrincipalSpecialization/BinghamCaterpillarUniquenessRefutation
Repository path
D5/S3/Combinatorics/Graph/PrincipalSpecialization/BinghamCaterpillarUniquenessRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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