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Jan 19th, 2018
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  1. g = Graph3D[{1 <-> 2, 2 <-> 3, 3 <-> 1, 4 <-> 5, 5 <-> 6, 6 <-> 4, 1 <-> 4, 2 <-> 5, 3 <-> 6},
  2. EdgeWeight -> {1, 1, 1, 1, 1, 1, 5, 5, 5}]
  3.  
  4. FindGraphCommunities[g, Method -> "Centrality"]
  5. (* {{1, 4}, {2, 5}, {3, 6}} *)
  6.  
  7. EdgeBetweennessCentrality[g]
  8. (* {4., 4., 4., 4., 4., 4., 6., 6., 6.} *)
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