trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

New Laplacian layer maxima decrease on the four-vertex star

For the actual connected star on four vertices, the first two new Laplacian layers have maxima 4 and 3. Their decrease refutes the whole successive-layer monotonicity conjecture.

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A connected exact counterexample

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A disconnected counterexample to the token-radius conjectureA disconnected counterexampleto the token-radius conjectureNew Laplacian layer maxima decrease on the four-vertex starNew Laplacian layer maximadecrease on the four-vertexstar
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/TokenGraph/NewLayerMaximaRefutation
Repository path
D5/S3/Combinatorics/Graph/TokenGraph/NewLayerMaximaRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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