I'm trying to construct random incidence matrices and their directed graphs. I’ve gotten how to construct the random incidence matrices, and I have a basic idea of how to create directed graphs (using GraphPlot and listing 1->2, etc.), but the problem is I’m not sure how to translate the matrices I’ve created into the graphs. Is there a way to do this, or should I be trying to create a random graph first and getting its incidence matrix? Also, ideally these digraphs should have single arcs with the possibility of having multiple heads or tails, or none, but I haven’t seen any examples of this. I’ve been looking at the help sections for DiscreteMath‘GraphPlot and ‘Combinatorica, but I can’t figure it out. Any help would be useful, from useful commands to where I might look next, or anything at all.
Thanks a lot,