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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@vgr if you embed social graph in plane and use vertical for info/control, I think with high probability you will get no arbitrary intersect -
@nikete If you want to use the length to encode some notion of closeness, you'll get misleading results from projection on any given plane - Show replies
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@vgr i.e. the third D has large wiggle room in how it avoids the intersections, doesnt restrict the info/power variable more than epsilonThanks. Twitter will use this to make your timeline better. UndoUndo
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@vgr conjecture: for allmost all graphs + any 1D variables over their nodes, there is a embedding in 3D that has no arbitrary intersection.. -
@nikete That sounds plausible since the condition for embedding is homeomorphism. I suppose isomorphic embeddings will need >3d.
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@vgr ... and preserves the 1D variable up to an epsilon perturbation form its origial valueThanks. Twitter will use this to make your timeline better. UndoUndo
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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