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Combinatorics / CONCEPT

An integer Sombor energy

The graph formed by three four-cycles sharing one vertex has Sombor spectrum 16, -16, 4, -4, 4, -4, 0, 0, 0, 0. Its Sombor energy is 48, refuting Conjecture 3.8 of Ghanbari.

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Three four-cycles sharing a vertex

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An integer Sombor energyAn integer Sombor energy
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Lean sourceResearch workspace
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Closed
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0
Layer
D5/S3
Domain
Combinatorics
Node ID
D5/S3/Combinatorics/Graph/SomborEnergyIntegerRefutation
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D5/S3/Combinatorics/Graph/SomborEnergyIntegerRefutation.lean
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sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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