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Combinatorics / CONCEPT

The triangle refutes Li–Guo Conjecture 2.22

The triangle has signless Laplacian eigenvalues 4, 1, 1. Its truncated square sum is 4, exceeding the degree bound 3 in Li–Guo Conjecture 2.22.

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A triangle counterexample

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The order-one boundary of the cyclic SGB extensionThe order-one boundary of thecyclic SGB extensionThe triangle refutes Li–Guo Conjecture 2.22The triangle refutes Li–GuoConjecture 2.22
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/SignlessLaplacian/LiGuoDegreeSequenceRefutation
Repository path
D5/S3/Combinatorics/Graph/SignlessLaplacian/LiGuoDegreeSequenceRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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