Vertex sizes scaled by vertex degree?

Is there any way of scaling the sizes of the vertices of a network proportional to the vertex-degrees of the vertices in Mathematica?
Thanks.

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I believe there is a topic about that here but I can’t find it. Meanwhile a community topic: On design of styles for small weighted graphs
– Kuba
May 6 at 18:11

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1 Answer
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SeedRandom[5]
g = RandomGraph[{6, 10}]

vd = Thread[VertexList@g -> Normalize[VertexDegree@g, Total]];
g2 = SetProperty[g, VertexSize -> vd]

  

 

Great! Why are you dividing by 20 here?
– dbm
May 6 at 18:21

  

 

@dbm, dividing by 20 was to scale the vertex sizes. It is removed in the updated post.
– kglr
May 6 at 18:26

  

 

Got it. However, this code doesn’t work for say g = RandomGraph[{90, 120}]
– dbm
May 6 at 18:29

  

 

@dbm, maybe you can use Normalize[VertexDegree@g, Max] for large graphs.
– kglr
May 6 at 18:33

  

 

No I mean when you draw the larger network with your code, it doesn’t show any nodes at all. I guess you just need to multiply Normalize by 100 or something, otherwise the node size would be scaled too small to see.
– dbm
May 6 at 18:37