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It would take 4d to represent a realistic org chart. R^3 to embed base social graph, 4th for power gradient (from info/control flows)
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if you embed social graph in plane and use vertical for info/control, I think with high probability you will get no arbitrary intersect
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Im not familiar with Ramsey theory, will look into it. Fully connected quad in plane + epsilon perturbation no intersection high prob?
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