Mathematica Version 11.1/ Windows 10 I'm working om a dataset with 4000+ Vertices and wanted to make some of the Vertices a bit larger. After spending a lot of time I found some suggestions like here: http://community.wolfram.com/groups/-/m/t/45871 But it seems that the VertexSize is limited to a maximum of 1000 Vertices. I couldn't find any documentation to such a limit and I would really think it's a pity to find this is bug. So perhaps there's a workaround. (The code is clumsy but I found it to be the most predictable) > h = RandomGraph[{999, 800}, ImageSize -> {800, 800}] vertexdata = {VertexList[h], Rescale@BetweennessCentrality[h]/50}\[Transpose]; vertexes = Property[#[[1]], {VertexStyle -> RandomChoice[{ Yellow, Red, Blue}], VertexSize -> Scaled[#[[2]]]}] & /@ vertexdata; Graph[vertexes, EdgeList[h]] Now I change the number of vertices to 1000 and the Graphs is shown directly with small vertices (points) I execute the same code and the result is not as desired. Only the colors are changed but not the size. Attachments:

Actually, this may not be a bug. `VertexSize -> Scaled[s]` is not a documented syntax. It does happen to work in some cases, but that is just a coincidence. The correct usage is `VertexSize -> {"Scaled", s}`. This evaluates: GraphElementData["Circle"][{0, 0}, name, {.5, .5}] But this doesn't: GraphElementData["Circle"][{0, 0}, name, Scaled[{.5, .5}]] The sizes passed to the vertex function are expected to be a pair of numbers, not a `Scaled` form. The `VertexSize -> {"Scaled", s}` specification still allows for scaled sizes, but translates these to plain numbers before passing them to the vertex shape function. Another comment: with either `VertexShapeFunction -> "Circle"` or `VertexShapeFunction -> (Disk[#1, #3]&)`, you may want to add `EdgeForm[Black]` to the vertex style.

Hi Scabolcs, Where did you use the VertexShapeFunction. When I use it I get errors (Unknown box name with Graph Elements [Circle]) or it doesn't change anything. When I use Graph[Range[1000], {}, VertexShapeFunction -> "Circle"] the graph output is a blank. With Range[999] I see the 999 vertices. So where in my code did you use the VertexShapeFunction -> "Circle"? Thx!

I played a bit with this. An explicit setting of `VertexShapeFunction -> "Circle"` should fix it. I suspect that the drawing method changes for large graphs, either to optimize appearance or rendering performance.

Use VertexSize with more than 999 Vertices?