Question

I’m trying to visualize some graphs and am looking for alternate ways to style the edges. I’m not entirely sure if changing the edge style would improve the representation, but even so I’m curious.

For example:

GraphPlot3D[{2 -> 3, 2 -> 4, 2 -> 5, 3 -> 4, 3 -> 5, 4 -> 5}, 
 EdgeRenderingFunction -> Dotted, 
]

Doesn’t work. Something like EdgeRenderingFunction -> (Cylinder[#1, 0.05] &), doesn’t work well at all because the number of edges I am working with makes this incredible slow and doesn’t look as good as the default line anyway.

Is there a way to systematically see what options Mathematica will accept? Any suggestions as to

Answer 1

Systematic way is look through the list of options in Help. In GraphPlot3D‘s help, in PlotStyle section, there are examples how to make dotted edges.

Additionally, if you do GraphPlot3D[{2 -> 3}]//FullForm you will see that edges are drawn with Line primitive, so look in Line help pages under PlotStyle for more supported properties. So for instance, PlotStyle->Thick works for GraphPlot3D even though it’s not mentioned on GraphPlot3D’s help page.

If you want to see undocumented options, you could do Options[GraphPlot3D], Information[GraphPlot3D], and if you really want to dig into undocumented stuff, look at Simon’s comment in this question